×

Kotlyarov, Vladimir P.

Compute Distance To:
Author ID: kotlyarov.vladimir-p Recent zbMATH articles by "Kotlyarov, Vladimir P."
Published as: Kotlyarov, V. P.; Kotlyarov, Vladimir; Kotlyarov, Vladimir P.; Kotlyarov, V.
External Links: MGP · Math-Net.Ru
Documents Indexed: 54 Publications since 1970
Biographic References: 1 Publication
Co-Authors: 22 Co-Authors with 39 Joint Publications
1,255 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 320 times in 173 Documents Cited by Year
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. Zbl 1185.37153
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
37
2009
The explicit formulas for solutions of the Schrödinger nonlinear equation. Zbl 0341.35050
Its, O. R.; Kotlyarov, V. P.
33
1976
Focusing NLS equation: long-time dynamics of step-like initial data. Zbl 1220.35166
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry
30
2011
Almost periodical solutions of the equation \(u_{tt}-u_{xx}+\sin u=0\). Zbl 0337.35003
Kozel, V. O.; Kotlyarov, V. P.
23
1976
Riemann-Hilbert problem to the modified Korteveg-de Vries equation: long-time dynamics of the steplike initial data. Zbl 1309.35050
Kotlyarov, Vladimir; Minakov, Alexander
19
2010
The focusing nonlinear Schrödinger equation on the quarter plane with time-periodic boundary condition: A Riemann-Hilbert approach. Zbl 1180.35474
Boutet De Monvel, Anne; Kotlyarov, Vladimir
15
2007
On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations. Zbl 0972.35522
Kotlyarov, Vladimir P.
14
1994
Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations. Zbl 0819.58015
Khruslov, E. Ya.; Kotlyarov, V. P.
13
1994
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
13
2007
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition. Zbl 1165.35464
Boutet de Monvel, Anne; Kotlyarov, Vladimir; Shepelsky, Dmitry
12
2009
Solitons of the nonlinear Schrödinger equation generated by the continuum. Zbl 0621.35092
Kotlyarov, V. P.; Khruslov, E. Ya.
11
1986
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
Scattering problem for the Zakharov-Shabat equations on the semi-axis. Zbl 0976.35078
Boutet de Monvel, A.; Kotlyarov, V.
10
2000
Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data. Zbl 1062.35102
Boutet de Monvel, Anne; Kotlyarov, Vladimir
9
2003
Asymptotic solitons of the modified Korteweg-de Vries equation. Zbl 0712.35086
Kotlyarov, V. P.; Khruslov, E. Ya.
7
1989
Step-initial function to the MKdV equation: hyper-elliptic long-time asymptotics of the solution. Zbl 1260.35185
Kotlyarov, V.; Minakov, A.
6
2012
A new Riemann-Hilbert problem in a model of stimulated Raman scattering. Zbl 1111.35053
Moskovchenko, E. A.; Kotlyarov, V. P.
5
2006
Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation. Zbl 1332.35328
Kotlyarov, Vladimir; Minakov, Alexander
4
2015
Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation. Zbl 07177373
Kotlyarov, Vladimir; Minakov, Alexander
4
2019
Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior. Zbl 1187.78055
Moskovchenko, E. A.; Kotlyarov, V. P.
4
2010
Characterization of the scattering data of the Schrödinger and Dirac operators. Zbl 0744.35028
Anders, I. A.; Kotlyarov, V. P.
3
1991
Asymptotic behavior in the trailing edge domain of the solution of the KdV equation with an initial condition of the “threshold type”. Zbl 0991.35073
Baranetskii, V. B.; Kotlyarov, V. P.
3
2001
Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schrödinger equation. Zbl 0734.35126
Kotlyarov, V. P.
3
1991
Complete linearization of a mixed problem to the Maxwell-Bloch equations by matrix Riemann-Hilbert problems. Zbl 1287.78003
Kotlyarov, Vladimir
3
2013
Curved asymptotic solitons of the Kadomtsev-Petviashvili equation. Zbl 0850.35093
Anders, I. A.; Kotlyarov, V. P.; Khruslov, E. Ya.
3
1994
Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. Zbl 1386.35379
Kotlyarov, Vladimir; Shepelsky, Dmitry
3
2017
Riemann-Hilbert problems and the mKdV equation with step initial data: short-time behavior of solutions and the nonlinear Gibbs-type phenomenon. Zbl 1256.35120
Kotlyarov, Vladimir; Minakov, Alexander
3
2012
Finite-zonal solutions of the equation \(u_{tt}-u_{xx}+\sin u=0\). Zbl 0433.35060
Kozel, V. A.; Kotlyarov, V. P.
3
1978
The time asymptotics of the solution of the Cauchy problem for the modified Korteweg-de Vries equation with non-decreasing initial data. Zbl 0622.35065
Kotlyarov, V. P.; Khruslov, E. Ya.
2
1986
Matrix Riemann-Hilbert problems and Maxwell-Bloch equations without spectral broadening. Zbl 1301.37052
Kotlyarov, V. P.; Moskovchenko, E. A.
2
2014
Asymptotic analysis of the marchenko integral equation and soliton asymptotics of a solution of the nonlinear Schrödinger equation. Zbl 1194.35417
Kotlyarov, Vladimir P.
2
1995
Periodic problem for non-linear Schrödinger’s equation. Zbl 0404.35086
Kotlyarov, V. P.
2
1976
Characteristic properties of the scattering data for the mKdV equation on the half-line. Zbl 1103.37044
Boutet de Monvel, Anne; Kotlyarov, Vladimir
2
2005
Generation of asymptotic solitons in an integrable model of stimulated Raman scattering by periodic boundary data. Zbl 1061.37057
Khruslov, Eugene; Kotlyarov, Vladimir
1
2003
Über eine Grenzrandwertbedingung eines Neumannproblems. Zbl 0211.13402
Kotlyarov, V. P.; Khruslov, E. Ya.
1
1970
Soliton asymptotics of non-localized solutions of nonlinear evolutionary equations. Zbl 0899.35095
Anders, I. A.; Khruslov, E. Ya.; Kotlyarov, V. P.
1
1997
Inversion of the Miura transformation. Zbl 0702.35222
Kotlyarov, V. P.
1
1989
Reconstruction of the Hermitian matrix by its spectrum and spectra of some number of its perturbations. Zbl 1359.15009
Kotlyarov, V. P.; Marchenko, V. A.; Slavin, V. V.
1
2016
Maxwell-Bloch equations without spectral broadening: gauge equivalence, transformation operators and matrix Riemann-Hilbert problems. Zbl 1392.35200
Filipkovska, M. S.; Kotlyarov, V. P.; Melamedova, E. A.
1
2017
Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation. Zbl 07177373
Kotlyarov, Vladimir; Minakov, Alexander
4
2019
Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. Zbl 1386.35379
Kotlyarov, Vladimir; Shepelsky, Dmitry
3
2017
Maxwell-Bloch equations without spectral broadening: gauge equivalence, transformation operators and matrix Riemann-Hilbert problems. Zbl 1392.35200
Filipkovska, M. S.; Kotlyarov, V. P.; Melamedova, E. A.
1
2017
Reconstruction of the Hermitian matrix by its spectrum and spectra of some number of its perturbations. Zbl 1359.15009
Kotlyarov, V. P.; Marchenko, V. A.; Slavin, V. V.
1
2016
Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation. Zbl 1332.35328
Kotlyarov, Vladimir; Minakov, Alexander
4
2015
Matrix Riemann-Hilbert problems and Maxwell-Bloch equations without spectral broadening. Zbl 1301.37052
Kotlyarov, V. P.; Moskovchenko, E. A.
2
2014
Complete linearization of a mixed problem to the Maxwell-Bloch equations by matrix Riemann-Hilbert problems. Zbl 1287.78003
Kotlyarov, Vladimir
3
2013
Step-initial function to the MKdV equation: hyper-elliptic long-time asymptotics of the solution. Zbl 1260.35185
Kotlyarov, V.; Minakov, A.
6
2012
Riemann-Hilbert problems and the mKdV equation with step initial data: short-time behavior of solutions and the nonlinear Gibbs-type phenomenon. Zbl 1256.35120
Kotlyarov, Vladimir; Minakov, Alexander
3
2012
Focusing NLS equation: long-time dynamics of step-like initial data. Zbl 1220.35166
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry
30
2011
Riemann-Hilbert problem to the modified Korteveg-de Vries equation: long-time dynamics of the steplike initial data. Zbl 1309.35050
Kotlyarov, Vladimir; Minakov, Alexander
19
2010
Initial boundary value problems for integrable systems: towards the long time asymptotics. Zbl 1197.37087
Boutet de Monvel, Anne; Kotlyarov, Vladimir P.; Shepelsky, Dmitry; Zheng, Chunxiong
11
2010
Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior. Zbl 1187.78055
Moskovchenko, E. A.; Kotlyarov, V. P.
4
2010
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition on the half-line. Zbl 1185.37153
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
37
2009
Decaying long-time asymptotics for the focusing NLS equation with periodic boundary condition. Zbl 1165.35464
Boutet de Monvel, Anne; Kotlyarov, Vladimir; Shepelsky, Dmitry
12
2009
The focusing nonlinear Schrödinger equation on the quarter plane with time-periodic boundary condition: A Riemann-Hilbert approach. Zbl 1180.35474
Boutet De Monvel, Anne; Kotlyarov, Vladimir
15
2007
Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition. Zbl 1138.35083
Boutet de Monvel, Anne; Its, Alexander; Kotlyarov, Vladimir
13
2007
A new Riemann-Hilbert problem in a model of stimulated Raman scattering. Zbl 1111.35053
Moskovchenko, E. A.; Kotlyarov, V. P.
5
2006
Characteristic properties of the scattering data for the mKdV equation on the half-line. Zbl 1103.37044
Boutet de Monvel, Anne; Kotlyarov, Vladimir
2
2005
Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data. Zbl 1062.35102
Boutet de Monvel, Anne; Kotlyarov, Vladimir
9
2003
Generation of asymptotic solitons in an integrable model of stimulated Raman scattering by periodic boundary data. Zbl 1061.37057
Khruslov, Eugene; Kotlyarov, Vladimir
1
2003
Asymptotic behavior in the trailing edge domain of the solution of the KdV equation with an initial condition of the “threshold type”. Zbl 0991.35073
Baranetskii, V. B.; Kotlyarov, V. P.
3
2001
Scattering problem for the Zakharov-Shabat equations on the semi-axis. Zbl 0976.35078
Boutet de Monvel, A.; Kotlyarov, V.
10
2000
Soliton asymptotics of non-localized solutions of nonlinear evolutionary equations. Zbl 0899.35095
Anders, I. A.; Khruslov, E. Ya.; Kotlyarov, V. P.
1
1997
Asymptotic analysis of the marchenko integral equation and soliton asymptotics of a solution of the nonlinear Schrödinger equation. Zbl 1194.35417
Kotlyarov, Vladimir P.
2
1995
On equations gauge equivalent to the sine-Gordon and Pohlmeyer-Lund-Regge equations. Zbl 0972.35522
Kotlyarov, Vladimir P.
14
1994
Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations. Zbl 0819.58015
Khruslov, E. Ya.; Kotlyarov, V. P.
13
1994
Curved asymptotic solitons of the Kadomtsev-Petviashvili equation. Zbl 0850.35093
Anders, I. A.; Kotlyarov, V. P.; Khruslov, E. Ya.
3
1994
Characterization of the scattering data of the Schrödinger and Dirac operators. Zbl 0744.35028
Anders, I. A.; Kotlyarov, V. P.
3
1991
Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schrödinger equation. Zbl 0734.35126
Kotlyarov, V. P.
3
1991
Asymptotic solitons of the modified Korteweg-de Vries equation. Zbl 0712.35086
Kotlyarov, V. P.; Khruslov, E. Ya.
7
1989
Inversion of the Miura transformation. Zbl 0702.35222
Kotlyarov, V. P.
1
1989
Solitons of the nonlinear Schrödinger equation generated by the continuum. Zbl 0621.35092
Kotlyarov, V. P.; Khruslov, E. Ya.
11
1986
The time asymptotics of the solution of the Cauchy problem for the modified Korteweg-de Vries equation with non-decreasing initial data. Zbl 0622.35065
Kotlyarov, V. P.; Khruslov, E. Ya.
2
1986
Finite-zonal solutions of the equation \(u_{tt}-u_{xx}+\sin u=0\). Zbl 0433.35060
Kozel, V. A.; Kotlyarov, V. P.
3
1978
The explicit formulas for solutions of the Schrödinger nonlinear equation. Zbl 0341.35050
Its, O. R.; Kotlyarov, V. P.
33
1976
Almost periodical solutions of the equation \(u_{tt}-u_{xx}+\sin u=0\). Zbl 0337.35003
Kozel, V. O.; Kotlyarov, V. P.
23
1976
Periodic problem for non-linear Schrödinger’s equation. Zbl 0404.35086
Kotlyarov, V. P.
2
1976
Über eine Grenzrandwertbedingung eines Neumannproblems. Zbl 0211.13402
Kotlyarov, V. P.; Khruslov, E. Ya.
1
1970
all top 5

Cited by 191 Authors

10 Lenells, Jonatan
9 Boutet de Monvel, Anne Marie
9 Kotlyarov, Vladimir P.
8 Guo, Boling
8 Shepelsky, Dmitry
7 Biondini, Gino
7 Geng, Xianguo
6 Liu, Nan
5 Hwang, Guenbo
5 Its, Alexander Rudolfovich
5 Minakov, Alexander
5 Smirnov, Alexander O.
4 Bikbaev, Ramil’ F.
4 Bobenko, Alexander Ivanovich
4 Fan, Engui
4 Fokas, Athanassios S.
4 Grinevich, Pëtr Georgievich
4 Rybalko, Yan
4 Teschl, Gerald
4 Yan, Zhenya
3 Belokolos, Eugene D.
3 Chen, Mingming
3 Cherednik, Ivan V.
3 Egorova, Iryna
3 Enolskiĭ, Viktor Zelikovich
3 Hassan, Mahmood-Ul
3 Li, Sitai
3 Mantzavinos, Dionyssios
3 Matveev, Vladimir B.
3 Prinari, Barbara
3 Santini, Paolo Maria
3 Wang, Kedong
3 Yu, Guofu
2 Bertola, Marco
2 Demontis, Francesco
2 Feng, Baofeng
2 Grudsky, Sergei Mikhailovich
2 Khabibullin, Ismagil Talgatovich
2 Han, Bo
2 Huseynov, Hidayat Mahammad
2 Kamvissis, Spyridon
2 Khanmamedov, Agil Khanmamed ogly
2 Korotyaev, Evgeny L.
2 Li, Ruomeng
2 Mokeev, Dmitry B.
2 Mushahid, Nosheen
2 Ohta, Yasuhiro
2 Prykarpatsky, Anatoliy Karolevych
2 Quirchmayr, Ronald
2 Rybkin, Alexei
2 Schober, Constance M.
2 Sterling, Ivan
2 Wang, Dengshan
2 Wang, Lei
2 Wang, Linlin
2 Wang, Xiubin
2 Wang, Yufeng
2 Weng, Weifang
2 Wright, Otis Clarence III
2 Yakhshimuratov, Alisher Bekchanovich
2 Zhang, Yingnan
2 Zhu, Junyi
1 Adler, Vsevolod Eduardovich
1 Akhmediev, Nail N.
1 Anders, I. A.
1 Anders, Igor
1 Andreiev, Kyrylo
1 Ankiewicz, Adrian
1 Aydagulov, Rustem R.
1 Babich, Mikhail Vasil’evich
1 Bassom, Andrew P.
1 Berland, Håvard
1 Bogolyubov, Nikolaĭ Nikolaevich jun.
1 Bothner, Thomas
1 Caraffini, Gian Luca
1 Carroll, Robert Wayne
1 Chang, Chueh-Hsin
1 Chen, Aihua
1 Chen, Meisen
1 Chen, Shuyan
1 Chen, Yong
1 Chowdury, Amdad
1 Claude, Christophe
1 Cuccagna, Scipio
1 Damanik, David
1 Date, Etsuro
1 Deift, Percy A.
1 Dong, Yi-Jun
1 Dorfmeister, Josef F.
1 Dubrovin, Boris Anatol’evich
1 El, Gennady A.
1 Èl’bert, Aleksandr Evgen’evich
1 Elgin, John N.
1 Fagerstrom, Emily
1 Filipkovska, Maria S.
1 Frauendiener, Jörg
1 Fromm, Samuel
1 Galvani, Marta
1 Gao, Jianwei
1 Gesztesy, Fritz
...and 91 more Authors
all top 5

Cited in 69 Serials

15 Journal of Mathematical Physics
14 Physica D
11 Communications in Mathematical Physics
11 Theoretical and Mathematical Physics
8 Journal of Differential Equations
8 Journal of Nonlinear Mathematical Physics
7 Journal of Mathematical Analysis and Applications
5 Mathematical Notes
5 Journal of Soviet Mathematics
4 Applied Mathematics and Computation
4 Studies in Applied Mathematics
4 Journal of Nonlinear Science
4 Mathematical Physics, Analysis and Geometry
3 Applied Mathematics Letters
3 SIAM Journal on Mathematical Analysis
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Modern Physics Letters A
2 Applicable Analysis
2 Journal d’Analyse Mathématique
2 Nonlinearity
2 Physics Letters. A
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Mathematische Annalen
2 Journal of Mathematical Sciences (New York)
2 Communications in Nonlinear Science and Numerical Simulation
2 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Journal of Computational Physics
1 Letters in Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Advances in Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Annals of Global Analysis and Geometry
1 Acta Mathematicae Applicatae Sinica. English Series
1 Japan Journal of Applied Mathematics
1 European Journal of Applied Mathematics
1 Differential Geometry and its Applications
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 St. Petersburg Mathematical Journal
1 Journal of Difference Equations and Applications
1 Taiwanese Journal of Mathematics
1 Chaos
1 European Journal of Mechanics. B. Fluids
1 Regular and Chaotic Dynamics
1 Annales Henri Poincaré
1 Physical Review Letters
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Analysis and Applications (Singapore)
1 Journal of Statistical Mechanics: Theory and Experiment
1 Oberwolfach Reports
1 Journal of Mathematical Physics, Analysis, Geometry
1 Proceedings of the Steklov Institute of Mathematics
1 Frontiers of Mathematics in China
1 Science China. Mathematics
1 Analysis and Mathematical Physics
1 Journal of Mathematics
1 East Asian Journal on Applied Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications
1 Pacific Journal of Mathematics for Industry
1 AIMS Mathematics
1 Ural Mathematical Journal

Citations by Year