Journal of Nonlinear Mathematical Physics

Short Title:	J. Nonlinear Math. Phys.
Publisher:	Ukrainian Scienctific Association, Kyïv; Mathematical Ukraina Publisher, Kyïv
ISSN:	1402-9251
Online:	http://www.atlantis-press.com/publications/jnmp/
Successor:	Journal of Nonlinear Mathematical Physics
Comments:	Journal; No longer indexed

Documents Indexed:	193 Publications (1994–1997)
References Indexed:	187 Publications with 2,437 References.

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Latest Issues

4, No. 3-4 (1997)
4, No. 1-2 (1997)
3, No. 3-4 (1996)
3, No. 1-2 (1996)
2, No. 3-4 (1995)
2, No. 2 (1995)
2, No. 1 (1995)
1, No. 4 (1994)
1, No. 3 (1994)
1, No. 2 (1994)
1, No. 1 (1994)

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Authors

12	Fushchych, Vil’gel’m Illich
7	Zhdanov, Renat Z.
4	Euler, Norbert
4	Karpenko, Darya Ya.
4	Lahno, Victor Ivanovich
4	Zachary, Woodford William
3	Abd-el-Malek, Mina B.
3	Barannyk, Anatoliy F.
3	Barannyk, Leonid F.
3	Borghardt, Alexander A.
3	Cherniha, Roman M.
3	Euler, Marianna
3	Gill, Tepper L.
3	Leznov, Andreĭ Nikolaevich
3	Nikitin, Anatoly Glebovich
3	Parasyuk, Igor O.
3	Qiao, Zhijun (George)
3	Roy Chowdhury, Asesh
3	Svetlichny, George
2	Arai, Asao
2	Barannyk, Lyudmyla L.
2	Boyko, Vyacheslav M.
2	Bullough, Robin K.
2	Burban, Ivan M.
2	Caudrey, P. J.
2	Goldin, Gerald A.
2	Kashkakha, D. V.
2	Korostil, Andrii M.
2	Kovalev, Vladimir F.
2	Lakshmanan, Muthusamy
2	Légaré, Martin
2	Ma, Wen-Xiu
2	Mahmood, Mohammad F.
2	Moskalenko, Yu. D.
2	Onufrijchuk, S. P.
2	Ostrovskyĭ, Vasyl L.
2	Prykarpatsky, Anatoliy Karolevych
2	Prylypko, O. I.
2	Samoĭlenko, Yuriĭ Stefanovych
2	Senthilvelan, Murugaian
2	Tajiri, Masayoshi
2	Tsyfra, Ivan M.
2	Vorob’ev, Evgenii M.
2	Yuryk, Ivan I.
2	Zhdanov, Valery I.
1	Agafonov, Sergey I.
1	Aksenov, N. N.
1	Andreev, Viktor Konstantinovich
1	Andreitsev, Andrij
1	Andreytsev, Andrey
1	Andrushkiw, Roman I.
1	Badran, Nagwa A.
1	Baikov, V. A.
1	Basarab-Horwath, Peter
1	Beckers, Jules
1	Belov, N. A.
1	Berezans’kyĭ, Yuriĭ Makarovych
1	Berkovich, Lev M.
1	Bespalov, Yurij
1	Blackmore, Denis L.
1	Bubenchikova, Natalia
1	Bulavatskyĭ, Volodymyr M.
1	Can, Mehmet
1	Cantrijn, Frans
1	Cerveró, José M.
1	Chapovsky, Yu. A.
1	Cherkasenko, V. P.
1	Chopyk, Volodymyr
1	Chowdhury, K. Roy
1	Chua, Leon Ong
1	Chupakhin, Aleksandr Pavlovich
1	Damianou, Pantelis Andrea
1	Danylenko, V’yacheslav A.
1	Debergh, Nathalie
1	Derjagin, V. B.
1	Doebner, Heinz-Dietrich
1	Doyle, Philip W.
1	Eilbeck, John Chris
1	Enolskiĭ, Viktor Zelikovich
1	Estévez, Pilar G.
1	Fairlie, David B.
1	Fedorchuk, Ivan M.
1	Fedorchuk, Volodymyr I.
1	Finkel, Federico
1	Gaida, R.
1	Gavrilik, Alexandre M.
1	Gazizov, Rafail Kav’evich
1	Gerdt, Vladimir Petrovich
1	Gonchar, Nikolai
1	Gordoa, Pilar Ruiz
1	Khabibullin, Ismagil Talgatovich
1	Hanna, Sarwat N.
1	Harrison, B. Kent
1	Hentosh, Oksana E.
1	Hietarinta, Jarmo
1	Hussein, Magdy M.
1	Iorgov, N. Z.
1	Jackiw, Roman W.
1	Jiang, Zhuhan
1	Kachurik, Ivan I.
...and 98 more Authors

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Fields

124	Partial differential equations (35-XX)
63	Dynamical systems and ergodic theory (37-XX)
58	Quantum theory (81-XX)
29	Global analysis, analysis on manifolds (58-XX)
17	Ordinary differential equations (34-XX)
14	Nonassociative rings and algebras (17-XX)
11	Fluid mechanics (76-XX)
10	Mechanics of particles and systems (70-XX)
9	Optics, electromagnetic theory (78-XX)
8	Statistical mechanics, structure of matter (82-XX)
6	Topological groups, Lie groups (22-XX)
5	Operator theory (47-XX)
4	Functional analysis (46-XX)
3	Classical thermodynamics, heat transfer (80-XX)
3	Relativity and gravitational theory (83-XX)
2	Associative rings and algebras (16-XX)
2	Special functions (33-XX)
2	Systems theory; control (93-XX)
1	General and overarching topics; collections (00-XX)
1	History and biography (01-XX)
1	Combinatorics (05-XX)
1	Category theory; homological algebra (18-XX)
1	Integral transforms, operational calculus (44-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Differential geometry (53-XX)
1	Numerical analysis (65-XX)
1	Computer science (68-XX)
1	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	Biology and other natural sciences (92-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

110 Publications have been cited 497 times in 445 Documents	Cited by ▼	Year ▼
Symmetry reduction and exact solutions of the Navier-Stokes equations. I, II. Zbl 0956.35099 Fushchych, Wilhelm; Popowych, Roman	36	1994
Two-parameter deformation of the oscillator algebra and \((p,q)\)-analog of two-dimensional conformal field theory. Zbl 0936.35144 Burban, Ivan	27	1995
Antireduction and exact solutions of nonlinear heat equations. Zbl 0954.35037 Fushchych, Wilhelm; Zhdanov, Renat	27	1994
Generalization of the equivalence transformations. Zbl 1044.58508 Meleshko, S. V.	21	1996
On new representations of Galilei groups. Zbl 0945.22010 Zhdanov, R. Z.; Fushchych, W. I.	15	1997
Graded symmetry algebras of time-dependent evolution equations and application to the modified KP equations. Zbl 0948.35110 Ma, Wen-Xiu; Bullough, R. K.; Caudrey, P. J.	15	1997
Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137 Berezansky, Yurij; Shmoish, Michael	14	1994
Lie algebras of approximate symmetries. Zbl 1044.58507 Gazizov, Rafail K.	13	1996
Invariant linear spaces and exact solutions of nonlinear evolution equations. Zbl 1044.35511 Svirshchevskij, Sergey R.	12	1996
Transformation properties of \(\ddot x+f_1(t)\dot x+f_2(t)x+f_3(t)x^n=0\). Zbl 0949.34028 Euler, Norbert	12	1997
A nonrelativistic chiral soliton in one dimension. Zbl 0949.35131 Jackiw, R.	11	1997
Symmetry reductions of the Lax pair of the four-dimensional Euclidean self-dual Yang-Mills equations. Zbl 0952.35108 Legaré, M.	10	1996
On Lie reduction of the Navier-Stokes equations. Zbl 0936.35127 Popovych, R.	9	1995
Similarity reductions of the Zabolotskaya-Khokhlov equation with dissipative term. Zbl 0936.35161 Tajiri, M.	9	1995
Symmetry properties of the approximations of multidimensional generalized van der Pol equations. Zbl 0954.35114 Euler, Norbert; Euler, Marianna	9	1994
The singular manifold method: Darboux transformations and nonclassical symmetries. Zbl 0936.35152 Estévez, P. G.; Gordoa, P. R.	8	1995
On methods of finding Bäcklund transformations in systems with more than two independent variables. Zbl 0936.35160 Harrison, B. K.	8	1995
Ansatz’95. Zbl 0936.35151 Fushchych, W.	8	1995
Perturbed Lie symmetry and systems of nonlinear diffusion equations. Zbl 1044.35505 Wiltshire, R. J.	7	1996
The finite-dimensional Moser type reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps. I. Zbl 0952.37024 Prykarpatsky, A. K.; Hentosh, O. E.; Blackmore, D. L.	7	1997
Representations of algebras associated with a Möbius transformation. Zbl 0946.47052 Silvestrov, S. D.; Wallin, H.	6	1996
Gauge classification, Lie symmetries and integrability of a family of nonlinear Schrödinger equations. Zbl 0948.35117 Nattermann, P.; Doebner, H.-D.	6	1996
On new Galilei- and Poincaré-invariant nonlinear equations for electromagnetic field. Zbl 0967.81033 Fushchych, Wilhelm; Tsyfra, Ivan	6	1997
Nonlinear representations for Poincaré and Galilei algebras and nonlinear equations for electromagnetic field. Zbl 0960.81032 Fushchych, Wilhelm; Tsyfra, Ivan; Boyko, Vyacheslav	6	1994
The method of an exact linearization of \(n\)th-order ordinary differential equations. Zbl 0955.34004 Berkovich, L. M.	6	1996
Galilean-invariant nonlinear PDEs and their exact solutions. Zbl 0937.35015 Cherniha, R. M.	5	1995
Lie symmetries, infinite-dimensional Lie algebras and similarity reductions of certain \((2+1)\)-dimensional nonlinear evolution equations. Zbl 1044.37546 Lakshmanan, M.; Senthil Velan, M.	5	1996
Symmetry of equations with convection terms. Zbl 0948.35063 Fushchych, W. I.; Symenoh, Z. I.	5	1997
Non-Lie and discrete symmetries of the Dirac equation. Zbl 0991.81037 Niederle, Jiri; Nikitin, Anatolii	5	1997
Symmetry reduction and exact solutions of the Yang-Mills equations. Zbl 0991.81551 Lahno, Victor; Zhdanov, Renat; Fushchych, Wilhelm	5	1995
Gauge transformations for a family of nonlinear Schrödinger equations. Zbl 0965.81024 Goldin, Gerald A.	5	1997
Symmetry properties and exact solutions of the Fokker-Planck equation. Zbl 0962.82054 Stohny, Valery	5	1997
Universal phenomena in solution bifurcations of some boundary value problems. Zbl 0955.37501 Sharkovsky, Alexander; Sivak, Andrij	5	1994
Gauge symmetry and the generalization of Hirota’s bilinear method. Zbl 0952.35115 Hietarinta, J.	5	1996
Symmetries of the relativistic two-particle model with scalar-vector interaction. Zbl 0952.35148 Duvirjak, A.	5	1996
Symmetries of Maxwell-Bloch equations. Zbl 0936.37041 Damianou, P. A.; Paschali, P. G.	4	1995
Neumann-Bogolyubov-Rosochatius oscillatory dynamical systems and their integrability via dual moment maps. I. Zbl 0966.37035 Prykarpatsky, A.; Hentosh, O.; Kopych, M.; Samuliak, R.	4	1995
Periodic soliton solutions as imbricate series of rational solitons: solutions to the Kadomtsev-Petviashvili equation with positive dispersion. Zbl 0949.35123 Tajiri, Masayoshi; Watanabe, Yosuke	4	1997
Regular partially invariant submodels of gas dynamics equations. Zbl 0937.35138 Ovsyannikov, L. V.; Chupakhin, A. P.	3	1995
Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143 Arai, A.	3	1995
On the classification of subalgebras of the Galilei algebras. Zbl 0936.35142 Barannyk, Leonid	3	1995
Integrability of the perturbed KdV equation for convecting fluids: symmetry analysis and solutions. Zbl 1044.35518 Cerveró, J. M.; Zurrón, O.	3	1996
Conditional and nonlocal symmetry of nonlinear heat equation. Zbl 1044.35503 Serov, M. I.	3	1996
Symmetry approach in boundary value problems. Zbl 1044.35521 Habibullin, I. T.	3	1996
Painlevé analysis and symmetries of the Hirota-Satsuma equation. Zbl 1044.37548 Mohammad, A. A.; Can, M.	3	1996
On representations of *-algebras in mathematical physics. Zbl 0945.46033 Ostrovs’kyj, V. L.; Samojlenko, Ju. S.	3	1996
Symmetry group of Vlasov-Maxwell equations in plasma theory. Zbl 1044.35502 Kovalev, V. F.; Krivenko, S. V.; Pustovalov, V. V.	3	1996
On linear and non-linear representations of the generalized Poincaré groups in the class of Lie vector fields. Zbl 0945.22009 Fushchych, Wilhelm; Zhdanov, Renat; Lahno, Victor	3	1994
Symmetry classes of quasilinear systems in one space variable. Zbl 0957.35009 Doyle, Philip W.	3	1994
Invariance analysis of the \((2+1)\)-dimensional long dispersive wave equation. Zbl 0952.35005 Senthil Velan, M.; Lakshmanan, M.	3	1997
A dynamical mapping method in nonrelativistic models of quantum field theory. Zbl 0991.81065 Vall, A. N.; Korenblit, S. E.; Leviant, V. M.; Tanaev, A. B.	3	1997
Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy. Zbl 0952.35122 Lou, Sen-Yue	3	1994
Internal gravity waves with free upper surface over an obstacle. Zbl 0967.76530 Abd-el-Malek, M. B.; Tewfick, A. H.	3	1995
Conditional symmetry and exact solutions of the multidimensional nonlinear d’Alembert equation. Zbl 0949.35136 Barannyk, A. F.; Moskalenko, Ju. D.	3	1996
Group and renormgroup symmetry of quasi-Chaplygin media. Zbl 0951.35115 Kovalev, V. F.	3	1996
Symmetry reduction and exact solutions of the Euler-Lagrange-Born-Infeld, multidimensional Monge-Ampere and eikonal equations. Zbl 0936.35180 Fedorchuk, V.	2	1995
Determining equations and differential constraints. Zbl 0936.35177 Kaptsov, O. V.	2	1995
Non-Lie symmetries and supersymmetries. Zbl 0936.35141 Nikitin, A.	2	1995
Formal linearization and exact solutions of some nonlinear partial differential equations. Zbl 1044.35507 Baikov, V. A.; Khusnutdinova, K. R.	2	1996
On the Poincaré-invariant second-order partial equations for a spinor field. Zbl 1044.81612 Spichak, S.	2	1996
Symmetries of Euler equations in Lagrangian coordinates. Zbl 1044.58506 Andreev, Victor	2	1996
Homogeneous manifold, loop algebra, coupled KdV system and generalised Miura transformation. Zbl 0952.37025 Mukhopadhya, I.; Roy Chowdhury, A.	2	1994
Classical Poisson structure for a hierarchy of one-dimensional particle systems separable in parabolic coordinates. Zbl 0952.37026 Eilbeck, J. C.; Ènol’skii, V. Z.; Kuznetsov, V. B.; Leykin, D. V.	2	1994
General solution of the universal equation in \(n\)-dimensional space. Zbl 0951.35113 Fairlie, D. B.; Leznov, A. N.	2	1994
Commutator representations of nonlinear evolution equations: Harry Dym and Kaup-Newell cases. Zbl 0953.37016 Qiao, Zhijun	2	1995
On unique symmetry of two nonlinear generalizations of the Schrödinger equation. Zbl 0949.35129 Fushchych, Wilhelm; Cherniha, Roman; Chopyk, Volodymyr	2	1996
A class of representations of the \(*\)-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models. Zbl 0991.81051 Arai, Asao	2	1997
The cohomology of the variational bicomplex invariant under the symmetry algebra of the potential Kadomtsev-Petviashvili equation. Zbl 0977.37040 Pohjanpelto, Juha	2	1997
On the equivalence of matrix differential operators to Schrödinger form. Zbl 0951.35009 Finkel, F.; Kamran, N.	2	1997
A completely integrable system associated with the Harry Dym hierarchy. Zbl 0977.37041 Qiao, Zhi Jun	2	1994
Application of the theory of separability of second-order differential equations. Zbl 0966.34003 Sarlet, W.; Cantrijn, F.; Martínez, E.	2	1994
Non-linear Schrödinger equations, separation and symmetry. Zbl 0949.35132 Svetlichny, George	2	1995
Continuity equation in nonlinear quantum mechanics and the Galilei relativity principle. Zbl 0967.81006 Fushchych, Wilhelm; Boyko, Vyacheslav	2	1997
On classes of Lie solutions of MHD equations, expressed via the general solution of the heat equation. Zbl 0973.76603 Popovych, Victor	2	1997
A symmetry connection between hyperbolic and parabolic equations. Zbl 0949.35060 Basarab-Horwath, P.	2	1996
Symmetry analysis of the multidimensional polywave equation. Zbl 0949.35133 Roman, O.	2	1996
Group analysis of nonlinear heat-conduction problem for a semi-infinite body. Zbl 0936.35178 Badran, N. A.; Abd-el-Malek, M. B.	1	1995
On the spectral theory of operator pencils in a Hilbert space. Zbl 0940.47011 Andrushkiw, R. I.	1	1995
Lie algebras and superalgebras defined by a finite number of relations: computer analysis. Zbl 0967.17002 Gerdt, V. P.; Kornyak, V. V.	1	1995
Symmetry classification of the one-dimensional second order equation of a hydrodynamic type. Zbl 0936.35128 Boyko, Vyacheslav	1	1995
On asymptotic methods in theory of differential equations of mathematical physics. Zbl 0943.34044 Shkil’, M.	1	1996
Nonlinearized perturbation theories. Zbl 0937.81023 Znojil, M.	1	1996
Symmetry in nonlinear mechanics: averaging and normalization procedures, new problems and algorithms. Zbl 1044.70507 Lopatin, A. K.	1	1996
Similarity solutions for a nonlinear model of the heat equation. Zbl 1044.35510 Saied, Effat A.; Hussein, Magdy M.	1	1996
Direct similarity solution method and comparison with the classical Lie symmetry solutions. Zbl 1044.35501 Jiang, Zhuhan	1	1996
Direct method of finding first integrals of finite-dimensional systems and construction of nondegenerate Poisson structures. Zbl 0952.37027 Annamalai, A.; Tamizhmani, K. M.	1	1994
Coisotropic quasi-periodic motions near the relative equilibrium of a Hamiltonian system. Zbl 0955.37033 Parasyuk, Ihor	1	1994
\(q\)-deformed dressing operators and modified integrable hierarchies. Zbl 0963.37065 Mukhopadhaya, I.; Roy Chowdhury, A.	1	1994
On non-Lie ansatzes and new exact solutions of the classical Yang-Mills equations. Zbl 0947.53014 Zhdanov, Renat; Fushchych, Wilhelm	1	1995
On Shtelen’s solution of the free linear Schrödinger equation. Zbl 0991.81020 Zachary, W. W.	1	1997
Symmetry reduction of Poincaré-invariant nonlinear wave equations. Zbl 0951.35081 Barannyk, A. F.; Moskalenko, Yu. D.	1	1997
Symmetry constraint of MKdV equations by binary nonlinearization. Zbl 0952.35123 Ma, Wen-Xiu	1	1994
Non-Lie ansatzes for nonlinear heat equations. Zbl 0948.35013 Tsyfra, Ivan	1	1995
\((p,q)\)-analog of two-dimensional conformal field theory. The Ward identities and correlation functions. Zbl 0991.81583 Burban, I. M.	1	1995
Proper-time relativistic dynamics and the Fushchych-Shtelen transformation. Zbl 0973.70018 Gill, Tepper L.; Lindesay, James; Mahmood, M. F.; Zachary, W. W.	1	1997
On the braided FRT-construction. Zbl 0959.18004 Bespalov, Yurij	1	1997
Sound attenuation in a circular duct of a viscous medium in the absence of mean flow. Zbl 1121.76385 Abd-El-Malek, Mina B.; Hanna, Sarwat N.	1	1997
On the self-similar solutions of generalized hydrodynamics equations and nonlinear wave patterns. Zbl 0973.76597 Danylenko, V. A.; Vladimirov, V. A.	1	1997
Completely integrable generalized C. Neumann systems on several symplectic submanifolds. Zbl 0956.37043 Qiao, Zhijun	1	1997
Conditional invariance and exact solutions of a nonlinear system. Zbl 0949.35122 Myronyk, Pavlo; Bubenchikova, Natalia	1	1997
On new representations of Galilei groups. Zbl 0945.22010 Zhdanov, R. Z.; Fushchych, W. I.	15	1997
Graded symmetry algebras of time-dependent evolution equations and application to the modified KP equations. Zbl 0948.35110 Ma, Wen-Xiu; Bullough, R. K.; Caudrey, P. J.	15	1997
Transformation properties of \(\ddot x+f_1(t)\dot x+f_2(t)x+f_3(t)x^n=0\). Zbl 0949.34028 Euler, Norbert	12	1997
A nonrelativistic chiral soliton in one dimension. Zbl 0949.35131 Jackiw, R.	11	1997
The finite-dimensional Moser type reduction of modified Boussinesq and super-Korteweg-de Vries Hamiltonian systems via the gradient-holonomic algorithm and dual moment maps. I. Zbl 0952.37024 Prykarpatsky, A. K.; Hentosh, O. E.; Blackmore, D. L.	7	1997
On new Galilei- and Poincaré-invariant nonlinear equations for electromagnetic field. Zbl 0967.81033 Fushchych, Wilhelm; Tsyfra, Ivan	6	1997
Symmetry of equations with convection terms. Zbl 0948.35063 Fushchych, W. I.; Symenoh, Z. I.	5	1997
Non-Lie and discrete symmetries of the Dirac equation. Zbl 0991.81037 Niederle, Jiri; Nikitin, Anatolii	5	1997
Gauge transformations for a family of nonlinear Schrödinger equations. Zbl 0965.81024 Goldin, Gerald A.	5	1997
Symmetry properties and exact solutions of the Fokker-Planck equation. Zbl 0962.82054 Stohny, Valery	5	1997
Periodic soliton solutions as imbricate series of rational solitons: solutions to the Kadomtsev-Petviashvili equation with positive dispersion. Zbl 0949.35123 Tajiri, Masayoshi; Watanabe, Yosuke	4	1997
Invariance analysis of the \((2+1)\)-dimensional long dispersive wave equation. Zbl 0952.35005 Senthil Velan, M.; Lakshmanan, M.	3	1997
A dynamical mapping method in nonrelativistic models of quantum field theory. Zbl 0991.81065 Vall, A. N.; Korenblit, S. E.; Leviant, V. M.; Tanaev, A. B.	3	1997
A class of representations of the \(*\)-algebra of the canonical commutation relations over a Hilbert space and instability of embedded eigenvalues in quantum field models. Zbl 0991.81051 Arai, Asao	2	1997
The cohomology of the variational bicomplex invariant under the symmetry algebra of the potential Kadomtsev-Petviashvili equation. Zbl 0977.37040 Pohjanpelto, Juha	2	1997
On the equivalence of matrix differential operators to Schrödinger form. Zbl 0951.35009 Finkel, F.; Kamran, N.	2	1997
Continuity equation in nonlinear quantum mechanics and the Galilei relativity principle. Zbl 0967.81006 Fushchych, Wilhelm; Boyko, Vyacheslav	2	1997
On classes of Lie solutions of MHD equations, expressed via the general solution of the heat equation. Zbl 0973.76603 Popovych, Victor	2	1997
On Shtelen’s solution of the free linear Schrödinger equation. Zbl 0991.81020 Zachary, W. W.	1	1997
Symmetry reduction of Poincaré-invariant nonlinear wave equations. Zbl 0951.35081 Barannyk, A. F.; Moskalenko, Yu. D.	1	1997
Proper-time relativistic dynamics and the Fushchych-Shtelen transformation. Zbl 0973.70018 Gill, Tepper L.; Lindesay, James; Mahmood, M. F.; Zachary, W. W.	1	1997
On the braided FRT-construction. Zbl 0959.18004 Bespalov, Yurij	1	1997
Sound attenuation in a circular duct of a viscous medium in the absence of mean flow. Zbl 1121.76385 Abd-El-Malek, Mina B.; Hanna, Sarwat N.	1	1997
On the self-similar solutions of generalized hydrodynamics equations and nonlinear wave patterns. Zbl 0973.76597 Danylenko, V. A.; Vladimirov, V. A.	1	1997
Completely integrable generalized C. Neumann systems on several symplectic submanifolds. Zbl 0956.37043 Qiao, Zhijun	1	1997
Conditional invariance and exact solutions of a nonlinear system. Zbl 0949.35122 Myronyk, Pavlo; Bubenchikova, Natalia	1	1997
On integration of the nonlinear d’Alembert-eikonal system and conditional symmetry of nonlinear wave equations. Zbl 0951.35087 Zhdanov, Renat Z.	1	1997
The scenario of appearance of periodic and chaotic modes in a model with control over biosynthetic processes. Zbl 0951.34026 Kovalenko, T. P.	1	1997
Contact transformations in classical mechanics. Zbl 0957.70018 Yaremko, Yurij	1	1997
Reduction and exact solutions of the Monge-Amp��re equation. Zbl 0952.35013 Leibov, Oleg	1	1997
Generalization of the equivalence transformations. Zbl 1044.58508 Meleshko, S. V.	21	1996
Lie algebras of approximate symmetries. Zbl 1044.58507 Gazizov, Rafail K.	13	1996
Invariant linear spaces and exact solutions of nonlinear evolution equations. Zbl 1044.35511 Svirshchevskij, Sergey R.	12	1996
Symmetry reductions of the Lax pair of the four-dimensional Euclidean self-dual Yang-Mills equations. Zbl 0952.35108 Legaré, M.	10	1996
Perturbed Lie symmetry and systems of nonlinear diffusion equations. Zbl 1044.35505 Wiltshire, R. J.	7	1996
Representations of algebras associated with a Möbius transformation. Zbl 0946.47052 Silvestrov, S. D.; Wallin, H.	6	1996
Gauge classification, Lie symmetries and integrability of a family of nonlinear Schrödinger equations. Zbl 0948.35117 Nattermann, P.; Doebner, H.-D.	6	1996
The method of an exact linearization of \(n\)th-order ordinary differential equations. Zbl 0955.34004 Berkovich, L. M.	6	1996
Lie symmetries, infinite-dimensional Lie algebras and similarity reductions of certain \((2+1)\)-dimensional nonlinear evolution equations. Zbl 1044.37546 Lakshmanan, M.; Senthil Velan, M.	5	1996
Gauge symmetry and the generalization of Hirota’s bilinear method. Zbl 0952.35115 Hietarinta, J.	5	1996
Symmetries of the relativistic two-particle model with scalar-vector interaction. Zbl 0952.35148 Duvirjak, A.	5	1996
Integrability of the perturbed KdV equation for convecting fluids: symmetry analysis and solutions. Zbl 1044.35518 Cerveró, J. M.; Zurrón, O.	3	1996
Conditional and nonlocal symmetry of nonlinear heat equation. Zbl 1044.35503 Serov, M. I.	3	1996
Symmetry approach in boundary value problems. Zbl 1044.35521 Habibullin, I. T.	3	1996
Painlevé analysis and symmetries of the Hirota-Satsuma equation. Zbl 1044.37548 Mohammad, A. A.; Can, M.	3	1996
On representations of *-algebras in mathematical physics. Zbl 0945.46033 Ostrovs’kyj, V. L.; Samojlenko, Ju. S.	3	1996
Symmetry group of Vlasov-Maxwell equations in plasma theory. Zbl 1044.35502 Kovalev, V. F.; Krivenko, S. V.; Pustovalov, V. V.	3	1996
Conditional symmetry and exact solutions of the multidimensional nonlinear d’Alembert equation. Zbl 0949.35136 Barannyk, A. F.; Moskalenko, Ju. D.	3	1996
Group and renormgroup symmetry of quasi-Chaplygin media. Zbl 0951.35115 Kovalev, V. F.	3	1996
Formal linearization and exact solutions of some nonlinear partial differential equations. Zbl 1044.35507 Baikov, V. A.; Khusnutdinova, K. R.	2	1996
On the Poincaré-invariant second-order partial equations for a spinor field. Zbl 1044.81612 Spichak, S.	2	1996
Symmetries of Euler equations in Lagrangian coordinates. Zbl 1044.58506 Andreev, Victor	2	1996
On unique symmetry of two nonlinear generalizations of the Schrödinger equation. Zbl 0949.35129 Fushchych, Wilhelm; Cherniha, Roman; Chopyk, Volodymyr	2	1996
A symmetry connection between hyperbolic and parabolic equations. Zbl 0949.35060 Basarab-Horwath, P.	2	1996
Symmetry analysis of the multidimensional polywave equation. Zbl 0949.35133 Roman, O.	2	1996
On asymptotic methods in theory of differential equations of mathematical physics. Zbl 0943.34044 Shkil’, M.	1	1996
Nonlinearized perturbation theories. Zbl 0937.81023 Znojil, M.	1	1996
Symmetry in nonlinear mechanics: averaging and normalization procedures, new problems and algorithms. Zbl 1044.70507 Lopatin, A. K.	1	1996
Similarity solutions for a nonlinear model of the heat equation. Zbl 1044.35510 Saied, Effat A.; Hussein, Magdy M.	1	1996
Direct similarity solution method and comparison with the classical Lie symmetry solutions. Zbl 1044.35501 Jiang, Zhuhan	1	1996
Symmetries of the classical integrable systems and 2-dimensional quantum gravity: a ‘map’. Zbl 0952.35116 Bullough, R. K.; Caudrey, P. J.	1	1996
Weak and partial symmetries of nonlinear PDE in two independent variables. Zbl 0949.35062 Vorob’ev, E. M.	1	1996
On symmetry reduction of nonlinear generalization of the heat equation. Zbl 0949.35061 Marchenko, V.	1	1996
On reduction of the Euler equations by means of two-dimensional algebras. Zbl 0952.35087 Popovych, G.	1	1996
Two-parameter deformation of the oscillator algebra and \((p,q)\)-analog of two-dimensional conformal field theory. Zbl 0936.35144 Burban, Ivan	27	1995
On Lie reduction of the Navier-Stokes equations. Zbl 0936.35127 Popovych, R.	9	1995
Similarity reductions of the Zabolotskaya-Khokhlov equation with dissipative term. Zbl 0936.35161 Tajiri, M.	9	1995
The singular manifold method: Darboux transformations and nonclassical symmetries. Zbl 0936.35152 Estévez, P. G.; Gordoa, P. R.	8	1995
On methods of finding Bäcklund transformations in systems with more than two independent variables. Zbl 0936.35160 Harrison, B. K.	8	1995
Ansatz’95. Zbl 0936.35151 Fushchych, W.	8	1995
Galilean-invariant nonlinear PDEs and their exact solutions. Zbl 0937.35015 Cherniha, R. M.	5	1995
Symmetry reduction and exact solutions of the Yang-Mills equations. Zbl 0991.81551 Lahno, Victor; Zhdanov, Renat; Fushchych, Wilhelm	5	1995
Symmetries of Maxwell-Bloch equations. Zbl 0936.37041 Damianou, P. A.; Paschali, P. G.	4	1995
Neumann-Bogolyubov-Rosochatius oscillatory dynamical systems and their integrability via dual moment maps. I. Zbl 0966.37035 Prykarpatsky, A.; Hentosh, O.; Kopych, M.; Samuliak, R.	4	1995
Regular partially invariant submodels of gas dynamics equations. Zbl 0937.35138 Ovsyannikov, L. V.; Chupakhin, A. P.	3	1995
Representation of canonical commutation relations in a gauge theory, the Aharonov-Bohm effect, and the Dirac-Weyl operator. Zbl 0936.35143 Arai, A.	3	1995
On the classification of subalgebras of the Galilei algebras. Zbl 0936.35142 Barannyk, Leonid	3	1995
Internal gravity waves with free upper surface over an obstacle. Zbl 0967.76530 Abd-el-Malek, M. B.; Tewfick, A. H.	3	1995
Symmetry reduction and exact solutions of the Euler-Lagrange-Born-Infeld, multidimensional Monge-Ampere and eikonal equations. Zbl 0936.35180 Fedorchuk, V.	2	1995
Determining equations and differential constraints. Zbl 0936.35177 Kaptsov, O. V.	2	1995
Non-Lie symmetries and supersymmetries. Zbl 0936.35141 Nikitin, A.	2	1995
Commutator representations of nonlinear evolution equations: Harry Dym and Kaup-Newell cases. Zbl 0953.37016 Qiao, Zhijun	2	1995
Non-linear Schrödinger equations, separation and symmetry. Zbl 0949.35132 Svetlichny, George	2	1995
Group analysis of nonlinear heat-conduction problem for a semi-infinite body. Zbl 0936.35178 Badran, N. A.; Abd-el-Malek, M. B.	1	1995
On the spectral theory of operator pencils in a Hilbert space. Zbl 0940.47011 Andrushkiw, R. I.	1	1995
Lie algebras and superalgebras defined by a finite number of relations: computer analysis. Zbl 0967.17002 Gerdt, V. P.; Kornyak, V. V.	1	1995
Symmetry classification of the one-dimensional second order equation of a hydrodynamic type. Zbl 0936.35128 Boyko, Vyacheslav	1	1995
On non-Lie ansatzes and new exact solutions of the classical Yang-Mills equations. Zbl 0947.53014 Zhdanov, Renat; Fushchych, Wilhelm	1	1995
Non-Lie ansatzes for nonlinear heat equations. Zbl 0948.35013 Tsyfra, Ivan	1	1995
\((p,q)\)-analog of two-dimensional conformal field theory. The Ward identities and correlation functions. Zbl 0991.81583 Burban, I. M.	1	1995
Symmetry reduction and exact solutions of the Navier-Stokes equations. I, II. Zbl 0956.35099 Fushchych, Wilhelm; Popowych, Roman	36	1994
Antireduction and exact solutions of nonlinear heat equations. Zbl 0954.35037 Fushchych, Wilhelm; Zhdanov, Renat	27	1994
Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137 Berezansky, Yurij; Shmoish, Michael	14	1994
Symmetry properties of the approximations of multidimensional generalized van der Pol equations. Zbl 0954.35114 Euler, Norbert; Euler, Marianna	9	1994
Nonlinear representations for Poincaré and Galilei algebras and nonlinear equations for electromagnetic field. Zbl 0960.81032 Fushchych, Wilhelm; Tsyfra, Ivan; Boyko, Vyacheslav	6	1994
Universal phenomena in solution bifurcations of some boundary value problems. Zbl 0955.37501 Sharkovsky, Alexander; Sivak, Andrij	5	1994
On linear and non-linear representations of the generalized Poincaré groups in the class of Lie vector fields. Zbl 0945.22009 Fushchych, Wilhelm; Zhdanov, Renat; Lahno, Victor	3	1994
Symmetry classes of quasilinear systems in one space variable. Zbl 0957.35009 Doyle, Philip W.	3	1994
Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy. Zbl 0952.35122 Lou, Sen-Yue	3	1994
Homogeneous manifold, loop algebra, coupled KdV system and generalised Miura transformation. Zbl 0952.37025 Mukhopadhya, I.; Roy Chowdhury, A.	2	1994
...and 10 more Documents

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Cited by 587 Authors

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14	Fushchych, Vil’gel’m Illich
11	Qu, Changzheng
11	Zhdanov, Renat Z.
9	Estévez, Pilar G.
9	Sophocleous, Christodoulos
8	Bihlo, Alexander
7	Boyko, Vyacheslav M.
7	Lahno, Victor Ivanovich
7	Vaneeva, Olena O.
6	Acar, Tuncer
6	Cherniha, Roman M.
6	Gandarias Núñez, Maria Luz
6	Meleshko, Sergey V.
6	Morozov, Oleg I.
6	Silvestrov, Sergei D.
5	Djinja, Domingos
5	Gao, Yitian
5	Ji, Lina
5	Mahomed, Fazal M.
5	Meng, Xianghua
5	Oberlack, Martin
5	Oliveri, Francesco
5	Pamuk, Serdal
5	Senthilvelan, Murugaian
5	Tian, Bo
5	Tumwesigye, Alex Behakanira
5	Xu, Tao
5	Zaman, Fiazud Din
4	Abd-el-Malek, Mina B.
4	Arai, Asao
4	Bokhari, Ashfaque H.
4	Bruzón, Maria Santos
4	Chen, Yufu
4	Gorgone, Matteo
4	Kara, Abdul Hamid
4	Khalique, Chaudry Masood
4	Kunzinger, Michael
4	Mohiuddine, Syed Abdul
4	Nadjafikhah, Mehdi
4	Ntouyas, Sotiris K.
4	Opanasenko, Stanislav
4	Rashed, Ahmed S.
4	Tariboon, Jessada
4	Zhang, Zhiyong
3	Albares, Paz
3	Aral, Ali
3	Bînzar, Tudor
3	Biswas, Anjan
3	Blackmore, Denis L.
3	Chen, Xiaomin
3	Eshraghi, Homayoon
3	Grebenev, Vladimir N.
3	Hamdouni, Aziz
3	Hentosh, Oksana E.
3	Hu, Xingbiao
3	Jamal, Sameerah
3	Korenblit, S. E.
3	Kovalev, Vladimir F.
3	Lakshmanan, Muthusamy
3	Lăzureanu, Cristian
3	Leach, Peter Gavin Lawrence
3	Ma, Wen-Xiu
3	Mabrouk, Samah M.
3	Mursaleen, Mohammad
3	Ndogmo, Jean-Claude
3	Paliathanasis, Andronikos
3	Prykarpatsky, Anatoliy Karolevych
3	Razafindralandy, Dina
3	Sahadevan, Ramajayam
3	Semenov, Victor V.
3	Sharkovs’kyĭ, Oleksandr Mykolaĭovych
3	Sitthiwirattham, Thanin
3	Soontharanon, Jarunee
3	Speciale, Maria Paola
3	Tsyfra, Ivan M.
3	Yu, Xin
3	Zhang, Cheng
3	Zhou, Ruguang
2	Al-Dweik, Ahmad Y.
2	Ali, Ahmed M. S.
2	Asadzadeh, Mohammad Sina
2	Basarab-Horwath, Peter
2	Ben-Ya’acov, Uri
2	Berkovich, Lev M.
2	Bîlă, Nicoleta Virginia
2	Boutet de Monvel, Anne Marie
2	Bullough, Robin K.
2	Caudrey, P. J.
2	Chandrasekar, V. K.
2	Cheng, Wentao
2	Cheviakov, Alexei F.
2	Czachor, Marek
2	Dai, Zhengde
2	Dos Santos Cardoso-Bihlo, Elsa Maria
2	Duviryak, Askold
2	El-Sayed, Salah M.
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2	Fedorchuk, Vasyl M.
2	Fedorchuk, Volodymyr I.
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Cited in 142 Journals

31	Journal of Nonlinear Mathematical Physics
29	Journal of Mathematical Physics
25	Journal of Nonlinear Mathematical Physics
18	Reports on Mathematical Physics
17	Journal of Mathematical Analysis and Applications
17	Applied Mathematics and Computation
16	Communications in Nonlinear Science and Numerical Simulation
14	Physics Letters. A
13	Acta Applicandae Mathematicae
13	Nonlinear Dynamics
10	Mathematical Methods in the Applied Sciences
9	International Journal of Modern Physics B
8	Theoretical and Mathematical Physics
8	Ukrainian Mathematical Journal
8	Physica D
7	Journal of Geometry and Physics
6	General Relativity and Gravitation
6	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6	Advances in Difference Equations
5	International Journal of Theoretical Physics
5	Applied Mathematics Letters
4	International Journal of Modern Physics A
4	Journal of Computational and Applied Mathematics
4	Applied Mathematical Modelling
3	Computers & Mathematics with Applications
3	Nonlinearity
3	Nuclear Physics. B
3	Chaos, Solitons and Fractals
3	Mathematics and Computers in Simulation
3	Journal of Inequalities and Applications
3	International Journal of Geometric Methods in Modern Physics
3	Waves in Random and Complex Media
3	Journal of Physics A: Mathematical and Theoretical
3	Advances in Mathematical Physics
2	Modern Physics Letters B
2	Computer Physics Communications
2	Reviews in Mathematical Physics
2	Journal of Differential Equations
2	Studies in Applied Mathematics
2	Acta Mathematicae Applicatae Sinica. English Series
2	Fractional Calculus & Applied Analysis
2	Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2	Regular and Chaotic Dynamics
2	Nonlinear Analysis. Real World Applications
2	Journal of Applied Mathematics
2	Iranian Journal of Science and Technology. Transaction A: Science
2	Complex Analysis and Operator Theory
2	Communications in Theoretical Physics
2	Science China. Mathematics
2	Journal of Function Spaces
2	AIMS Mathematics
2	Open Communications in Nonlinear Mathematical Physics
1	Communications in Mathematical Physics
1	Computer Methods in Applied Mechanics and Engineering
1	Fluid Dynamics
1	International Journal of Engineering Science
1	Journal of Engineering Mathematics
1	Journal of Fluid Mechanics
1	Journal of Mathematical Biology
1	Mathematical Biosciences
1	Rocky Mountain Journal of Mathematics
1	ZAMP. Zeitschrift für angewandte Mathematik und Physik
1	Theoretical and Computational Fluid Dynamics
1	Fortschritte der Physik
1	Advances in Mathematics
1	Functional Analysis and its Applications
1	Journal of Functional Analysis
1	Journal of Pure and Applied Algebra
1	Mathematica Slovaca
1	Quaestiones Mathematicae
1	Advances in Applied Mathematics
1	Applied Mathematics and Mechanics. (English Edition)
1	Journal of Symbolic Computation
1	Revista Matemática Iberoamericana
1	Numerical Methods for Partial Differential Equations
1	Mathematical and Computer Modelling
1	Science in China. Series A
1	European Journal of Applied Mathematics
1	Differential Geometry and its Applications
1	Computational Mathematics and Mathematical Physics
1	Annals of Physics
1	Expositiones Mathematicae
1	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1	Continuum Mechanics and Thermodynamics
1	Russian Mathematics
1	Journal of Mathematical Sciences (New York)
1	Electronic Journal of Differential Equations (EJDE)
1	Journal of the Egyptian Mathematical Society
1	Turkish Journal of Mathematics
1	Georgian Mathematical Journal
1	Advances in Applied Clifford Algebras
1	Random Operators and Stochastic Equations
1	Journal of Inverse and Ill-Posed Problems
1	Mathematical Problems in Engineering
1	Open Systems & Information Dynamics
1	Journal of Applied Mechanics and Technical Physics
1	Chaos
1	New Journal of Physics
1	European Journal of Mechanics. B. Fluids
1	Analysis (München)
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Cited in 45 Fields

263	Partial differential equations (35-XX)
102	Dynamical systems and ergodic theory (37-XX)
69	Fluid mechanics (76-XX)
62	Quantum theory (81-XX)
51	Ordinary differential equations (34-XX)
41	Global analysis, analysis on manifolds (58-XX)
23	Nonassociative rings and algebras (17-XX)
20	Topological groups, Lie groups (22-XX)
17	Approximations and expansions (41-XX)
16	Numerical analysis (65-XX)
16	Mechanics of particles and systems (70-XX)
14	Operator theory (47-XX)
14	Optics, electromagnetic theory (78-XX)
13	Relativity and gravitational theory (83-XX)
12	Difference and functional equations (39-XX)
11	Mechanics of deformable solids (74-XX)
11	Statistical mechanics, structure of matter (82-XX)
9	Differential geometry (53-XX)
9	Biology and other natural sciences (92-XX)
6	Special functions (33-XX)
6	Computer science (68-XX)
6	Classical thermodynamics, heat transfer (80-XX)
5	Combinatorics (05-XX)
5	Real functions (26-XX)
5	Probability theory and stochastic processes (60-XX)
3	Integral equations (45-XX)
3	Functional analysis (46-XX)
2	Algebraic geometry (14-XX)
2	Associative rings and algebras (16-XX)
2	Category theory; homological algebra (18-XX)
2	Group theory and generalizations (20-XX)
2	Harmonic analysis on Euclidean spaces (42-XX)
2	Geophysics (86-XX)
2	Information and communication theory, circuits (94-XX)
1	History and biography (01-XX)
1	Number theory (11-XX)
1	Commutative algebra (13-XX)
1	Linear and multilinear algebra; matrix theory (15-XX)
1	Measure and integration (28-XX)
1	Functions of a complex variable (30-XX)
1	Potential theory (31-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Integral transforms, operational calculus (44-XX)
1	Calculus of variations and optimal control; optimization (49-XX)
1	Astronomy and astrophysics (85-XX)

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