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Brezhnev, Yurii V.

Co-Author Distance
Author ID: brezhnev.yurii-v Recent zbMATH articles by "Brezhnev, Yurii V."
Published as: Brezhnev, Yurii V.; Brezhnev, Yu. V.; Brežnev, Yu. V.
Documents Indexed: 33 Publications since 1995, including 5 Additional arXiv Preprints
Co-Authors: 6 Co-Authors with 6 Joint Publications
125 Co-Co-Authors
all top 5

Co-Authors

26 single-authored
2 Tsvetkova, Anna V.
1 Andreev, Vladimir A.
1 Lyakhovich, Simon L.
1 Sharapov, Alexey A.
1 Sherratt, Jonathan A.
1 Ustinov, Nikolai V.
all top 5

Serials

3 Journal of Mathematical Physics
3 Theoretical and Mathematical Physics
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Journal of Geometry and Physics
2 Journal of Differential Equations
2 Physica D
1 Mathematical Notes
1 Reports on Mathematical Physics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 St. Petersburg Mathematical Journal
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Moscow Mathematical Journal
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Fields

12 Ordinary differential equations (34-XX)
12 Dynamical systems and ergodic theory (37-XX)
10 Special functions (33-XX)
8 Partial differential equations (35-XX)
5 Functions of a complex variable (30-XX)
5 Quantum theory (81-XX)
4 Algebraic geometry (14-XX)
3 Number theory (11-XX)
2 Functional analysis (46-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

20 Publications have been cited 103 times in 78 Documents Cited by ▼ Year ▼
Finite-gap potentials with trigonal curves. Zbl 1087.34561
Brezhnev, Yu. V.
21
2002
Darboux transformation and some multi-phase solutions of the Dodd-Bullough-Tzitzeica equation: \(U_{xt}=e^ U-e^{-2U}\). Zbl 1072.35555
Brezhnev, Yurii V.
11
1996
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials. Zbl 1248.81032
Brezhnev, Yurii V.
9
2012
A \(\tau \)-function solution of the sixth Painlevé transcendent. Zbl 1185.37137
Brezhnev, Yu. V.
8
2009
Non-canonical extension of \(\theta\)-functions and modular integrability of \(\vartheta\)-constants. Zbl 1318.33034
Brezhnev, Yurii V.
7
2013
What does integrability of finite-gap or soliton potentials mean? Zbl 1153.37411
Brezhnev, Yurii V.
7
2008
Darboux transformation, positons and general superposition formula for the sine-Gordon equation. Zbl 1020.35517
Andreev, V. A.; Brezhnev, Yu. V.
6
1995
On uniformization of algebraic curves. Zbl 1167.30018
Brezhnev, Yu. V.
6
2008
Elliptic solitons, Fuchsian equations, and algorithms. Zbl 1276.35052
Brezhnev, Yu. V.
4
2013
On uniformization of Burnside’s curve \(y^2 = x^5 - x\). Zbl 1283.30070
Brezhnev, Yu. V.
4
2009
Elliptic solitons and Gröbner bases. Zbl 1070.37050
Brezhnev, Yurii V.
3
2004
The sixth Painlevé transcendent and uniformization of algebraic curves. Zbl 1345.34145
Brezhnev, Yurii V.
3
2016
On the \(\Psi\)-function for finite-gap potentials. Zbl 1098.34580
Ustinov, N. V.; Brezhnev, Yu. V.
3
2002
The mean values of the Weierstrass elliptic function \(\wp\): theory and application. Zbl 1293.33023
Sherratt, Jonathan A.; Brezhnev, Yurii V.
2
2013
Elliptic solitons with free constants and their isospectral deformations. Zbl 1011.37044
Brezhnev, Yurii V.
2
2001
Why and whence the Hilbert space in quantum theory? Zbl 1521.81007
Brezhnev, Yu. V.
2
2023
The Born rule as a statistics of quantum micro-events. Zbl 1472.81013
Brezhnev, Yurii V.
2
2020
Dynamical systems defining Jacobi’s \(\theta\)-constants. Zbl 1272.37030
Brezhnev, Yurii V.; Lyakhovich, Simon L.; Sharapov, Alexey A.
1
2011
On Dubrovin equations for finite-gap operators. Zbl 1098.34579
Brezhnev, Yu. V.
1
2002
A note on Chudnovsky’s Fuchsian equations. Zbl 1264.34173
Brezhnev, Yurii V.
1
2012
Why and whence the Hilbert space in quantum theory? Zbl 1521.81007
Brezhnev, Yu. V.
2
2023
The Born rule as a statistics of quantum micro-events. Zbl 1472.81013
Brezhnev, Yurii V.
2
2020
The sixth Painlevé transcendent and uniformization of algebraic curves. Zbl 1345.34145
Brezhnev, Yurii V.
3
2016
Non-canonical extension of \(\theta\)-functions and modular integrability of \(\vartheta\)-constants. Zbl 1318.33034
Brezhnev, Yurii V.
7
2013
Elliptic solitons, Fuchsian equations, and algorithms. Zbl 1276.35052
Brezhnev, Yu. V.
4
2013
The mean values of the Weierstrass elliptic function \(\wp\): theory and application. Zbl 1293.33023
Sherratt, Jonathan A.; Brezhnev, Yurii V.
2
2013
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials. Zbl 1248.81032
Brezhnev, Yurii V.
9
2012
A note on Chudnovsky’s Fuchsian equations. Zbl 1264.34173
Brezhnev, Yurii V.
1
2012
Dynamical systems defining Jacobi’s \(\theta\)-constants. Zbl 1272.37030
Brezhnev, Yurii V.; Lyakhovich, Simon L.; Sharapov, Alexey A.
1
2011
A \(\tau \)-function solution of the sixth Painlevé transcendent. Zbl 1185.37137
Brezhnev, Yu. V.
8
2009
On uniformization of Burnside’s curve \(y^2 = x^5 - x\). Zbl 1283.30070
Brezhnev, Yu. V.
4
2009
What does integrability of finite-gap or soliton potentials mean? Zbl 1153.37411
Brezhnev, Yurii V.
7
2008
On uniformization of algebraic curves. Zbl 1167.30018
Brezhnev, Yu. V.
6
2008
Elliptic solitons and Gröbner bases. Zbl 1070.37050
Brezhnev, Yurii V.
3
2004
Finite-gap potentials with trigonal curves. Zbl 1087.34561
Brezhnev, Yu. V.
21
2002
On the \(\Psi\)-function for finite-gap potentials. Zbl 1098.34580
Ustinov, N. V.; Brezhnev, Yu. V.
3
2002
On Dubrovin equations for finite-gap operators. Zbl 1098.34579
Brezhnev, Yu. V.
1
2002
Elliptic solitons with free constants and their isospectral deformations. Zbl 1011.37044
Brezhnev, Yurii V.
2
2001
Darboux transformation and some multi-phase solutions of the Dodd-Bullough-Tzitzeica equation: \(U_{xt}=e^ U-e^{-2U}\). Zbl 1072.35555
Brezhnev, Yurii V.
11
1996
Darboux transformation, positons and general superposition formula for the sine-Gordon equation. Zbl 1020.35517
Andreev, V. A.; Brezhnev, Yu. V.
6
1995
all cited Publications top 5 cited Publications
all top 5

Cited by 86 Authors

20 Geng, Xianguo
9 Brezhnev, Yurii V.
9 Zeng, Xin
8 He, Guoliang
7 Wei, Jiao
6 Wu, Lihua
5 Chen, Zhijie
5 Lin, Chang-Shou
4 Morales-Ruiz, Juan José
4 Zhai, Yunyun
4 Zurro, María-Angeles
3 Kuo, Ting-Jung
2 Bruno, Alexander Dmitrievich
2 Guzzetti, Davide
2 Jiménez, Sonia
2 Rueda, Sonia L.
2 Sánchez-Cauce, Raquel
2 Smirnov, Alexander O.
1 Acharya, Bobby Samir
1 Aharonov, Yakir
1 Aldazabal, Gerardo
1 Andrés, Eduardo
1 Combot, Thierry
1 Conte, Robert Maurice
1 Sobreira de Araujo Corrêa, Francisco Julio
1 Dai, Huihui
1 de Oliveira Guazzi, Érika Patricia Dantas
1 Dunne, Gerald V.
1 El-Kalaawy, Omar H.
1 Esmakhanova, Kuralay
1 Fan, Engui
1 Font, Anamaría
1 Gontsov, Renat R.
1 Goryuchkina, Irina V.
1 Grundland, Alfred Michel
1 Guo, Ning
1 Guttmann, Anthony John
1 He, Lin
1 Helland, Inge Svein
1 Hong, Junho
1 Huber, Alfred
1 Jia, Minxin
1 Lechtenfeld, Olaf
1 Li, Jiabin
1 Liu, Huan
1 Lou, Senyue
1 Maevskii, E. V.
1 Mangazeev, Vladimir V.
1 Matveev, Vladimir B.
1 Morales, Juan J.
1 Musette, Micheline
1 Myrzakulov, Ratbay
1 Myrzakulov, Yerlan
1 Narain, Kumar S.
1 Newsham, Samantha L.
1 Nimmo, Jonathan J. C.
1 Nugmanova, Gulgasyl Nukarbaevna
1 Palazzo, Reginaldo jun.
1 Papathanasiou, Georgios
1 Parini, Robert
1 Plyushchay, Mikhail S.
1 Popov, A. G.
1 Rui, Weiguo
1 Ruijsenaars, Simon N. M.
1 Sazonov, Sergey V.
1 Shen, Guicheng
1 Sherratt, Jonathan A.
1 Shushi, Tomer
1 Sun, Wan-yi
1 Sun, Wanyi
1 Sun, Yingying
1 Sun, Yunchuan
1 Tsvetkova, Anna V.
1 Tsyfra, Ivan M.
1 Ustinov, Nikolai V.
1 Wen, Lili
1 Xiong, Yongping
1 Xu, Jian
1 Xue, Bo
1 Yang, Yunqing
1 Yuan, Feng
1 Zadeh, Ida G.
1 Zhang, Wenling
1 Zhou, Jiangrui
1 Zhou, Rui
1 Zhu, Shihui
all top 5

Cited in 47 Serials

8 Journal of Geometry and Physics
6 Journal of Mathematical Physics
5 Theoretical and Mathematical Physics
5 Physica D
4 Journal of High Energy Physics
3 Chaos, Solitons and Fractals
3 Journal of Physics A: Mathematical and Theoretical
2 Reviews in Mathematical Physics
2 Nonlinear Dynamics
2 Journal of Applied Mathematics
1 Applicable Analysis
1 Communications in Mathematical Physics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Letters in Mathematical Physics
1 Mathematical Notes
1 Nuclear Physics. B
1 Physics Letters. A
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Journal of Differential Equations
1 Journal of Differential Geometry
1 Programming and Computer Software
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Nonlinear Science
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Computational and Applied Mathematics
1 Opuscula Mathematica
1 Chaos
1 Annales Henri Poincaré
1 Computational Methods and Function Theory
1 Advances in Difference Equations
1 Foundations of Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Zhejiang University. Science A
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 East Asian Journal on Applied Mathematics
1 Quantum Studies: Mathematics and Foundations
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
all top 5

Cited in 26 Fields

40 Dynamical systems and ergodic theory (37-XX)
31 Partial differential equations (35-XX)
21 Algebraic geometry (14-XX)
17 Ordinary differential equations (34-XX)
12 Quantum theory (81-XX)
6 Functions of a complex variable (30-XX)
5 Field theory and polynomials (12-XX)
5 Special functions (33-XX)
4 Operator theory (47-XX)
3 Number theory (11-XX)
3 Functional analysis (46-XX)
3 Relativity and gravitational theory (83-XX)
2 Commutative algebra (13-XX)
2 Differential geometry (53-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Difference and functional equations (39-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Mechanics of particles and systems (70-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year