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Brezhnev, Yurii V.

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Author ID: brezhnev.yurii-v Recent zbMATH articles by "Brezhnev, Yurii V."
Published as: Brezhnev, Yu. V.; Brezhnev, Yurii V.; Brežnev, Yu. V.
Documents Indexed: 25 Publications since 1995

Publications by Year

Citations contained in zbMATH

18 Publications have been cited 72 times in 54 Documents Cited by Year
Finite-gap potentials with trigonal curves. Zbl 1087.34561
Brezhnev, Yu. V.
18
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.
8
1996
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials. Zbl 1248.81032
Brezhnev, Yurii V.
7
2012
A \(\tau \)-function solution of the sixth Painlevé transcendent. Zbl 1185.37137
Brezhnev, Yu. V.
7
2009
Non-canonical extension of \(\theta\)-functions and modular integrability of \(\vartheta\)-constants. Zbl 1318.33034
Brezhnev, Yurii V.
5
2013
What does integrability of finite-gap or soliton potentials mean? Zbl 1153.37411
Brezhnev, Yurii V.
5
2008
Elliptic solitons, Fuchsian equations, and algorithms. Zbl 1276.35052
Brezhnev, Yu. V.
3
2013
On uniformization of algebraic curves. Zbl 1167.30018
Brezhnev, Yu. V.
3
2008
On the \(\Psi\)-function for finite-gap potentials. Zbl 1098.34580
Ustinov, N. V.; Brezhnev, Yu. V.
3
2002
Darboux transformation, positons and general superposition formula for the sine-Gordon equation. Zbl 1020.35517
Andreev, V. A.; Brezhnev, Yu. V.
3
1995
On uniformization of Burnside’s curve \(y^2 = x^5 - x\). Zbl 1283.30070
Brezhnev, Yu. V.
2
2009
Elliptic solitons and Gröbner bases. Zbl 1070.37050
Brezhnev, Yurii V.
2
2004
The sixth Painlevé transcendent and uniformization of algebraic curves. Zbl 1345.34145
Brezhnev, Yurii V.
1
2016
The mean values of the Weierstrass elliptic function \(\wp\): theory and application. Zbl 1293.33023
Sherratt, Jonathan A.; Brezhnev, Yurii V.
1
2013
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
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.
1
2001
The sixth Painlevé transcendent and uniformization of algebraic curves. Zbl 1345.34145
Brezhnev, Yurii V.
1
2016
Non-canonical extension of \(\theta\)-functions and modular integrability of \(\vartheta\)-constants. Zbl 1318.33034
Brezhnev, Yurii V.
5
2013
Elliptic solitons, Fuchsian equations, and algorithms. Zbl 1276.35052
Brezhnev, Yu. V.
3
2013
The mean values of the Weierstrass elliptic function \(\wp\): theory and application. Zbl 1293.33023
Sherratt, Jonathan A.; Brezhnev, Yurii V.
1
2013
Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials. Zbl 1248.81032
Brezhnev, Yurii V.
7
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.
7
2009
On uniformization of Burnside’s curve \(y^2 = x^5 - x\). Zbl 1283.30070
Brezhnev, Yu. V.
2
2009
What does integrability of finite-gap or soliton potentials mean? Zbl 1153.37411
Brezhnev, Yurii V.
5
2008
On uniformization of algebraic curves. Zbl 1167.30018
Brezhnev, Yu. V.
3
2008
Elliptic solitons and Gröbner bases. Zbl 1070.37050
Brezhnev, Yurii V.
2
2004
Finite-gap potentials with trigonal curves. Zbl 1087.34561
Brezhnev, Yu. V.
18
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.
1
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.
8
1996
Darboux transformation, positons and general superposition formula for the sine-Gordon equation. Zbl 1020.35517
Andreev, V. A.; Brezhnev, Yu. V.
3
1995

Citations by Year