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Author ID: cooper.fred Recent zbMATH articles by "Cooper, Fred"
Published as: Cooper, Fred; Cooper, F.

Publications by Year

Citations contained in zbMATH Open

29 Publications have been cited 446 times in 410 Documents Cited by Year
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
235
2001
Solitons in the Camassa-Holm shallow water equation. Zbl 0961.76512
Cooper, Fred; Shepard, Harvey
53
1994
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
27
1988
Variational ansatz for PT-symmetric quantum mechanics. Zbl 0948.81536
Bender, Carl M.; Cooper, Fred; Meisinger, Peter N.; Savage, Van M.
26
1999
Cosmology and broken scale invariance. Zbl 1267.83112
Cooper, Fred; Venturi, Giovanni
23
1981
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
9
2002
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh
8
2016
SUSY-based variational method for the anharmonic oscillator. Zbl 0941.81526
Cooper, Fred; Dawson, John; Shepard, Harvey
7
1994
Post-Gaussian variational method for the nonlinear Schrödinger equation: Soliton behavior and blowup. Zbl 0807.35133
Cooper, Fred; Shepard, Harvey; Lucheroni, Carlo; Sodano, Pasquale
7
1993
\(\mathrm{O}(N)\) symmetric extension of the sine-Gordon equation. Zbl 1244.81038
Cooper, Fred; Sodano, Pasquale; Trombettoni, Andrea; Chodos, Alan
6
2003
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh
5
2017
Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. Zbl 1357.35259
Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh
5
2017
Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force. Zbl 1509.81463
Quintero, Niurka R.; Sánchez-Rey, Bernardo; Cooper, Fred; Mertens, Franz G.
4
2019
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
3
2001
Minijet initial conditions for non-equilibrium parton evolution at RHIC and LHC. Zbl 1008.81515
Cooper, Fred; Mottola, Emil; Nayak, Gouranga C.
3
2003
Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl-Teller external potential. Zbl 1390.35320
Dawson, John F.; Cooper, Fred; Khare, Avinash; Mihaila, Bogdan; Arévalo, Edward; Lan, Ruomeng; Comech, Andrew; Saxena, Avadh
3
2017
Nonlinear Dirac equation solitary waves under a spinor force with different components. Zbl 1364.81114
Mertens, Franz G.; Cooper, Fred; Shao, Sihong; Quintero, Niurka R.; Saxena, Avadh; Bishop, A. R.
3
2017
Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations. Zbl 1342.35460
Cooper, Fred; Dawson, John F.
2
2016
A novel approach to the solution of boundary-layer problems. Zbl 0461.76024
Bender, Carl M.; Cooper, Fred; Guralnik, G. S.; Mjolsness, Eric; Rose, Harvey A.; Sharp, David H.
2
1980
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
2
1991
Topological kinks in \(\phi{}^{2n}\) field theories: A variational approach. Zbl 0755.35101
Cooper, Fred; Simmons, L. M. jun.; Sodano, Pasquale
2
1992
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
2
2017
Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. Zbl 1519.81179
Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh
2
2020
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2
2018
Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases. Zbl 1342.82152
Chien, Chih-Chun; She, Jian-Huang; Cooper, Fred
1
2014
Properties of the wormhole calculus. Zbl 1332.83041
Accetta, Frank S.; Chodos, Alan; Cooper, Fred; Shao, Bin
1
1989
Dynamics of the chiral phase transition in the \((2+1)\)-dimensional Gross-Neveu model. Zbl 0998.81523
Cooper, Fred; Savage, Van M.
1
2002
Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-\(\mathcal{PT}\) symmetry. Zbl 1519.35285
Charalampidis, Efstathios G.; Cooper, Fred; Dawson, John F.; Khare, Avinash; Saxena, Avadh
1
2021
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Zbl 1514.81113
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh
1
2020
Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with odd-\(\mathcal{PT}\) symmetry. Zbl 1519.35285
Charalampidis, Efstathios G.; Cooper, Fred; Dawson, John F.; Khare, Avinash; Saxena, Avadh
1
2021
Stability and response of trapped solitary wave solutions of coupled nonlinear Schrödinger equations in an external, \(\mathcal{PT}\)- and supersymmetric potential. Zbl 1519.81179
Charalampidis, Efstathios G.; Dawson, John F.; Cooper, Fred; Khare, Avinash; Saxena, Avadh
2
2020
Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity. Zbl 1514.81113
Cooper, Fred; Khare, Avinash; Quintero, Niurka R.; Sánchez-Rey, Bernardo; Mertens, Franz G.; Saxena, Avadh
1
2020
Length-scale competition in the parametrically driven nonlinear Dirac equation with a spatially periodic force. Zbl 1509.81463
Quintero, Niurka R.; Sánchez-Rey, Bernardo; Cooper, Fred; Mertens, Franz G.
4
2019
Exact solutions of a generalized variant of the derivative nonlinear Schrödinger equation in a Scarff II external potential and their stability properties. Zbl 1410.35203
Khare, Avinash; Cooper, Fred; Dawson, John F.
2
2018
Response of exact solutions of the nonlinear Schrödinger equation to small perturbations in a class of complex external potentials having supersymmetry and parity-time symmetry. Zbl 1384.35118
Cooper, Fred; Dawson, John F.; Mertens, Franz G.; Arévalo, Edward; Quintero, Niurka R.; Mihaila, Bogdan; Khare, Avinash; Saxena, Avadh
5
2017
Stability of exact solutions of the nonlinear Schrödinger equation in an external potential having supersymmetry and parity-time symmetry. Zbl 1357.35259
Cooper, Fred; Khare, Avinash; Comech, Andrew; Mihaila, Bogdan; Dawson, John F.; Saxena, Avadh
5
2017
Stability of new exact solutions of the nonlinear Schrödinger equation in a Pöschl-Teller external potential. Zbl 1390.35320
Dawson, John F.; Cooper, Fred; Khare, Avinash; Mihaila, Bogdan; Arévalo, Edward; Lan, Ruomeng; Comech, Andrew; Saxena, Avadh
3
2017
Nonlinear Dirac equation solitary waves under a spinor force with different components. Zbl 1364.81114
Mertens, Franz G.; Cooper, Fred; Shao, Sihong; Quintero, Niurka R.; Saxena, Avadh; Bishop, A. R.
3
2017
Approximate analytic solutions to coupled nonlinear Dirac equations. Zbl 1372.81042
Khare, Avinash; Cooper, Fred; Saxena, Avadh
2
2017
Solitary waves in the nonlinear Dirac equation in the presence of external driving forces. Zbl 1342.81734
Mertens, Franz G.; Cooper, Fred; Quintero, Niurka R.; Shao, Sihong; Khare, Avinash; Saxena, Avadh
8
2016
Auxiliary field loop expansion of the effective action for a class of stochastic partial differential equations. Zbl 1342.35460
Cooper, Fred; Dawson, John F.
2
2016
Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases. Zbl 1342.82152
Chien, Chih-Chun; She, Jian-Huang; Cooper, Fred
1
2014
\(\mathrm{O}(N)\) symmetric extension of the sine-Gordon equation. Zbl 1244.81038
Cooper, Fred; Sodano, Pasquale; Trombettoni, Andrea; Chodos, Alan
6
2003
Minijet initial conditions for non-equilibrium parton evolution at RHIC and LHC. Zbl 1008.81515
Cooper, Fred; Mottola, Emil; Nayak, Gouranga C.
3
2003
Periodic solutions of nonlinear equations obtained by linear superposition. Zbl 1039.35098
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
9
2002
Dynamics of the chiral phase transition in the \((2+1)\)-dimensional Gross-Neveu model. Zbl 0998.81523
Cooper, Fred; Savage, Van M.
1
2002
Supersymmetry in quantum mechanics. Zbl 0988.81001
Cooper, Fred; Khare, Avinash; Sukhatme, Uday
235
2001
Classical limit of time-dependent quantum field theory - a Schwinger-Dyson approach. Zbl 0971.81169
Cooper, F.; Khare, A.; Rose, H.
3
2001
Variational ansatz for PT-symmetric quantum mechanics. Zbl 0948.81536
Bender, Carl M.; Cooper, Fred; Meisinger, Peter N.; Savage, Van M.
26
1999
Solitons in the Camassa-Holm shallow water equation. Zbl 0961.76512
Cooper, Fred; Shepard, Harvey
53
1994
SUSY-based variational method for the anharmonic oscillator. Zbl 0941.81526
Cooper, Fred; Dawson, John; Shepard, Harvey
7
1994
Post-Gaussian variational method for the nonlinear Schrödinger equation: Soliton behavior and blowup. Zbl 0807.35133
Cooper, Fred; Shepard, Harvey; Lucheroni, Carlo; Sodano, Pasquale
7
1993
Topological kinks in \(\phi{}^{2n}\) field theories: A variational approach. Zbl 0755.35101
Cooper, Fred; Simmons, L. M. jun.; Sodano, Pasquale
2
1992
Novel perturbation expansion for the Langevin equation. Zbl 0943.82565
Bender, Carl; Cooper, Fred; Simmons, L. M. jun.; Roy, Pinaki; Kilcup, Greg
2
1991
Properties of the wormhole calculus. Zbl 1332.83041
Accetta, Frank S.; Chodos, Alan; Cooper, Fred; Shao, Bin
1
1989
Supersymmetry and the Dirac equation. Zbl 0651.58009
Cooper, Fred; Khare, Avinash; Musto, R.; Wipf, A.
27
1988
Cosmology and broken scale invariance. Zbl 1267.83112
Cooper, Fred; Venturi, Giovanni
23
1981
A novel approach to the solution of boundary-layer problems. Zbl 0461.76024
Bender, Carl M.; Cooper, Fred; Guralnik, G. S.; Mjolsness, Eric; Rose, Harvey A.; Sharp, David H.
2
1980
all top 5

Cited by 618 Authors

20 Khare, Avinash
12 Bagarello, Fabio
12 Cooper, Fred
11 Grandati, Yves
10 Mandal, Bhabani Prasad
10 Rosu, Haret C.
9 Gangopadhyaya, Asim
9 Liu, Zhengrong
9 Quintero, Niurka R.
8 Dawson, John F.
8 Mertens, Franz G.
8 Rasinariu, Constantin
8 Saxena, Avadh Behari
8 Yadav, Rajesh Kumar
7 Ahmadov, A. I.
7 Bender, Carl M.
7 Bougie, Jonathan
7 Roy, Pinaki
7 Zelaya, Kevin
6 Bagchi, Bijan Kumar
6 Rosas-Ortiz, Oscar
5 Hussin, Véronique
5 Khmelnytskaya, Kira V.
5 Kumari, Nisha
5 Mallow, Jeffry V.
5 Sánchez-Rey, Bernardo
5 Tian, Lixin
4 Ahmed, Zafar
4 Alhaidari, Abdulaziz D.
4 Constantin, Adrian
4 Drigo Filho, Elso
4 Kumar, C. Nagaraja
4 Nagiyev, Shakir M.
4 Ranjani, S. Sree
3 Aktaş, Metin
3 Aslanova, S. M.
3 Assi, Ibsal A.
3 Bahlouli, Hocine
3 Bérard, Alain
3 Böttcher, Stefan
3 Casas, Montserrat
3 Charalampidis, Efstathios G.
3 de Castro, Antonio Soares
3 Dehesa, Jesús S.
3 Escher, Joachim
3 Fernández C., David J.
3 Geng, Xianguo
3 Guo, Boling
3 Hounkonnou, Mahouton Norbert
3 Kamenshchik, Aleksandr Yur’evich
3 Kapoor, A. K.
3 Mancas, Stefan C.
3 Marquette, Ian
3 Meisinger, Peter N.
3 Mihaila, Bogdan
3 Nándori, I.
3 Nayak, Gouranga C.
3 Plastino, Angel Luis
3 Plastino, Angel Ricardo
3 Qian, Tifei
3 Samsonov, Boris F.
3 Schulze-Halberg, Axel
3 Sever, Ramazan
3 Shalaby, Abouzeid M.
3 Shao, Sihong
3 Tarverdiyeva, V. A.
3 Trombettoni, Andrea
3 Yeşiltaş, Özlem
2 Amir, Naila
2 Arévalo, Edward
2 Badalov, Sabuhi V.
2 Ballardini, Mario
2 Banerjee, Suman
2 Batle, Josep
2 Bazeia, Dionisio
2 Bhatia, Sanjana
2 Bhattacharyya, Kamal
2 Biazar, Jafar
2 Chen, Liqun
2 Chen, Pisin
2 Clarkson, Peter A.
2 Comech, Andrew
2 Comtet, Alain
2 Cruz y Cruz, Sara
2 Dai, Huihui
2 Das, Amiya
2 Dereziński, Jan
2 Dong, Shihai
2 Duplij, Steven
2 Fernández, David J. C.
2 Finelli, Fabio
2 Gao, Hongjun
2 Gómez-Ullate, David
2 Govaerts, Jan
2 Goyal, Amit
2 Gulden, Tobias
2 Hao, Xiazhi
2 Hassanabadi, Hassan
2 He, Bin
2 Huo, Xuwen
...and 518 more Authors
all top 5

Cited in 88 Serials

69 Physics Letters. A
45 Annals of Physics
36 Journal of Mathematical Physics
36 Journal of Physics A: Mathematical and Theoretical
23 Journal of High Energy Physics
11 Chaos, Solitons and Fractals
10 Modern Physics Letters A
10 International Journal of Theoretical Physics
10 Journal of Mathematical Chemistry
5 International Journal of Modern Physics A
5 European Journal of Physics
5 Mathematical Methods in the Applied Sciences
5 Physics Letters. B
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Journal of Cosmology and Astroparticle Physics
5 Advances in High Energy Physics
4 Journal of Mathematical Analysis and Applications
4 Physica A
4 Physics Reports
4 Theoretical and Mathematical Physics
4 Applied Mathematics and Computation
4 Nonlinear Analysis. Real World Applications
3 Classical and Quantum Gravity
3 General Relativity and Gravitation
3 Journal of Statistical Physics
3 Nuclear Physics. B
3 Journal of Computational and Applied Mathematics
3 Foundations of Physics
3 Symmetry
2 International Journal of Modern Physics B
2 Journal of Computational Physics
2 Physica D
2 International Journal of Modern Physics D
2 Chaos
2 Annales Henri Poincaré
2 Czechoslovak Journal of Physics
2 Complex Analysis and Operator Theory
2 Analysis and Mathematical Physics
2 Computational Methods for Differential Equations
1 Applicable Analysis
1 Communications in Mathematical Physics
1 Journal of Engineering Mathematics
1 Reports on Mathematical Physics
1 Wave Motion
1 Reviews in Mathematical Physics
1 Acta Mathematica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Fuzzy Sets and Systems
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Studies in Applied Mathematics
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 Applied Mathematical Modelling
1 Communications in Partial Differential Equations
1 Celestial Mechanics and Dynamical Astronomy
1 SIAM Journal on Scientific Computing
1 Differential Equations and Dynamical Systems
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Russian Physics Journal
1 Living Reviews in Relativity
1 Journal of Nonlinear Mathematical Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 The European Physical Journal C. Particles and Fields
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Communications in Mathematical Analysis
1 Frontiers of Mathematics in China
1 Communications in Theoretical Physics
1 Advances in Mathematical Physics
1 International Journal of Differential Equations
1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
1 International Journal of Quantum Chemistry
1 S\(\vec{\text{e}}\)MA Journal
1 ISRN Mathematical Physics
1 International Journal of Analysis
1 Mathematics
1 Quantum Studies: Mathematics and Foundations
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Results in Applied Mathematics
all top 5

Cited in 48 Fields

288 Quantum theory (81-XX)
130 Partial differential equations (35-XX)
38 Dynamical systems and ergodic theory (37-XX)
36 Relativity and gravitational theory (83-XX)
34 Special functions (33-XX)
34 Ordinary differential equations (34-XX)
32 Statistical mechanics, structure of matter (82-XX)
18 Fluid mechanics (76-XX)
14 Operator theory (47-XX)
14 Mechanics of particles and systems (70-XX)
13 Global analysis, analysis on manifolds (58-XX)
9 Numerical analysis (65-XX)
8 Nonassociative rings and algebras (17-XX)
7 Optics, electromagnetic theory (78-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Algebraic geometry (14-XX)
5 Differential geometry (53-XX)
5 Statistics (62-XX)
5 Astronomy and astrophysics (85-XX)
5 Information and communication theory, circuits (94-XX)
4 Topological groups, Lie groups (22-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Approximations and expansions (41-XX)
3 Mechanics of deformable solids (74-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Functional analysis (46-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Probability theory and stochastic processes (60-XX)
2 Computer science (68-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year