Vladimir Kotlyarov

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All published works
Action Title Year Authors
+ Maxwell-Bloch equations without spectral broadening: the long-time asymptotics of an input pulse in a long two-level laser amplifier 2022 Vladimir Kotlyarov
Oleksandr Minakov
+ PDF Chat Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation 2019 Vladimir Kotlyarov
Alexander Minakov
+ Dispersive Shock Wave, Generalized Laguerre Polynomials and Asymptotic Solitons of the Focusing Nonlinear Schr\"odinger Equation 2019 Vladimir Kotlyarov
Alexander Minakov
+ Dispersive Shock Wave, Generalized Laguerre Polynomials and Asymptotic Solitons of the Focusing Nonlinear Schrödinger Equation 2019 Vladimir Kotlyarov
А. А. Минаков
+ PDF Chat A Matrix Baker-Akhiezer Function Associated with the Maxwell-Bloch Equations and their Finite-Gap Solutions 2018 Vladimir Kotlyarov
+ Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation 2017 Vladimir Kotlyarov
Dmitry Shepelsky
+ Modulated elliptic wave and asymptotic solitons in a shock problem to the modified Korteweg-de Vries equation 2015 Vladimir Kotlyarov
Alexander Minakov
+ Periodic problem for the nonlinear Schroedinger equation 2014 Vladimir Kotlyarov
Alexander Its
+ PDF Chat Complete linearization of a mixed problem to the Maxwell–Bloch equations by matrix Riemann–Hilbert problems 2013 Vladimir Kotlyarov
+ PDF Chat Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data 2013 Iryna Egorova
Zoya Gladka
Vladimir Kotlyarov
Gerald Teschl
+ Modified Korteweg-de Vries equation: modulated elliptic wave and a train of asymptotic solitons 2013 Vladimir Kotlyarov
Minakov Alexander
+ Vladimir Aleksandrovich Marchenko (on his 90th birthday) 2012 Yurii Makarovich Berezanskii
В. Е. Захаров
Vladimir Kotlyarov
Клавдий Вениаминович Маслов
Сергей Петрович Новиков
L. А. Pastur
F. S. Rofe-Beketov
Anatoly Mykhailovych Samoilenko
E. Ya. Khruslov
+ Riemann–Hilbert problems and the mKdV equation with step initial data: short-time behavior of solutions and the nonlinear Gibbs-type phenomenon 2012 Vladimir Kotlyarov
Alexander Minakov
+ PDF Chat Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data 2010 Vladimir Kotlyarov
Alexander Minakov
+ PDF Chat Initial boundary value problems for integrable systems: towards the long time asymptotics 2010 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
Chunxiong Zheng
+ Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data 2010 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
+ Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior 2010 E.A. Moskovchenko
Vladimir Kotlyarov
+ PDF Chat Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line 2009 Anne Boutet de Monvel
Alexander Its
Vladimir Kotlyarov
+ Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition 2008 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
+ THE FOCUSING NLS EQUATION WITH PERIODIC DIRICHLET DATA: ADMISSIBLE NEUMANN VALUES AND LONG-TIME ASYMPTOTICS 2008 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
+ PDF Chat Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition 2007 Anne Boutet de Monvel
Alexander Its
Vladimir Kotlyarov
+ THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH 2007 Anne Boutet de Monvel
Vladimir Kotlyarov
+ PDF Chat Characteristic Properties of the Scattering Data for the mKdV Equation on the Half-Line 2004 Anne Boutet de Monvel
Vladimir Kotlyarov
+ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data 2003 Anne Boutet de Monvel
Vladimir Kotlyarov
+ Characteristic properties of the scattering data for the mKdV equation on the half-line 2003 Anne Boutet de Monvel
Vladimir Kotlyarov
+ Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation 2002 Anne Boutet de Monvel
E. Ya. Khruslov
Vladimir Kotlyarov
+ None 2001 V. B. Baranetskii
Vladimir Kotlyarov
+ Scattering problem for the Zakharov-Shabat equations on the semi-axis 2000 Anne Boutet de Monvel
Vladimir Kotlyarov
+ None 1999 Werner Kirsch
Vladimir Kotlyarov
+ The Cauchy problem for the sinh-Gordon equation and regular solitons 1998 Anne Boutet de Monvel
E. Ya. Khruslov
Vladimir Kotlyarov
+ Soliton asymptotics of non-localized solutions of non-linear evolutionary equations 1997 Igor Anders
E. Ya. Khruslov
Vladimir Kotlyarov
+ Asymptotic analysis of the Marchenko integral equation and soliton asymptotics of a solution of the nonlinear schrödinger equation 1995 Vladimir Kotlyarov
+ Curved asymptotic solitons of the Kadomtsev-Petviashvili equation 1994 Igor Anders
Vladimir Kotlyarov
E. Ya. Khruslov
+ Characterization of the scattering data of the Schr�dinger and Dirac operators 1991 Igor Anders
Vladimir Kotlyarov
+ Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schr�dinger equation 1991 Vladimir Kotlyarov
+ Asymptotic solitons of the modified Korteweg-de Vries equation 1989 Vladimir Kotlyarov
E. Ya. Khruslov
+ Asymptotic solitons of the sine-Gordon equation 1989 Vladimir Kotlyarov
+ Solitons of the nonlinear Schr�dinger equation generated by the continuum 1986 Vladimir Kotlyarov
E. Ya. Khruslov
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat A Steepest Descent Method for Oscillatory Riemann--Hilbert Problems. Asymptotics for the MKdV Equation 1993 Percy Deift
Xin Zhou
15
+ THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH 2007 Anne Boutet de Monvel
Vladimir Kotlyarov
12
+ PDF Chat Long‐time asymptotics of the nonlinear Schrödinger equation shock problem 2007 Robert Buckingham
Stephanos Venakides
10
+ PDF Chat The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation 1996 A. S. Fokas
A. R. Its
10
+ PDF Chat A steepest descent method for oscillatory Riemann-Hilbert problems 1992 Percy Deift
Xin Zhou
10
+ PDF Chat Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line 2009 Anne Boutet de Monvel
Alexander Its
Vladimir Kotlyarov
10
+ Long-Time Asymptotics for Integrable Nonlinear Wave Equations 1993 Percy Deift
A. R. Its
Xin Zhou
9
+ PDF Chat Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition 2007 Anne Boutet de Monvel
Alexander Its
Vladimir Kotlyarov
9
+ THE mKdV EQUATION ON THE HALF-LINE 2004 Anne Boutet de Monvel
A. S. Fokas
Dmitry Shepelsky
8
+ A unified transform method for solving linear and certain nonlinear PDEs 1997 A. S. Fokas
8
+ PDF Chat The nonlinear Schrödinger equation on the half-line 2005 A. S. Fokas
A. R. Its
L-Y Sung
7
+ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data 2003 Anne Boutet de Monvel
Vladimir Kotlyarov
7
+ Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory 1999 Percy Deift
T. Kriecherbauer
K. T-R McLaughlin
Stephanos Venakides
Xin Zhou
7
+ Scattering problem for the Zakharov-Shabat equations on the semi-axis 2000 Anne Boutet de Monvel
Vladimir Kotlyarov
7
+ An initial-boundary value problem for the sine-Gordon equation in laboratory coordinates 1992 A. S. Fokas
A. R. Its
6
+ Focusing NLS Equation: Long-Time Dynamics of Step-Like Initial Data 2010 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
6
+ PDF Chat Riemann–Hilbert problem to the modified Korteveg–de Vries equation: Long-time dynamics of the steplike initial data 2010 Vladimir Kotlyarov
Alexander Minakov
6
+ A Riemann-Hilbert Approach to Asymptotic Problems Arising in the Theory of Random Matrix Models, and also in the Theory of Integrable Statistical Mechanics 1997 Percy Deift
Alexander Its
Xin Zhou
6
+ Decaying Long-Time Asymptotics for the Focusing NLS Equation with Periodic Boundary Condition 2008 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
5
+ The Riemann–Hilbert Problem and Inverse Scattering 1989 Xin Zhou
5
+ None 2002 A. S. Fokas
5
+ PDF Chat Saturation of modulational instability via complex whitham deformations: Nonlinear Schrödinger equation 1997 R. F. Bikbaev
5
+ PDF Chat Temporal asymptotics for soliton equations in problems with step initial conditions 2005 V. Yu. Novokshenov
5
+ Asymptotic solitons of the modified Korteweg-de Vries equation 1989 Vladimir Kotlyarov
E. Ya. Khruslov
5
+ Complex whitham deformations in problems with “integrable instability” 1995 R. F. Bikbaev
5
+ Soliton asymptotics of nondecreasing solutions of nonlinear completely integrable evolution equations 1994 E. Ya. Khruslov and V. P. Kotlyarov
5
+ The collisionless shock region for the long‐time behavior of solutions of the KdV equation 1994 Percy Deift
Stephanos Venakides
Xin Zhou
4
+ PDF Chat The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line 2005 Justin Holmer
4
+ ASYMPTOTICS OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE KORTEWEG-de VRIES EQUATION WITH INITIAL DATA OF STEP TYPE 1976 E J Hruslov
4
+ Solitons of the nonlinear Schr�dinger equation generated by the continuum 1986 Vladimir Kotlyarov
E. Ya. Khruslov
4
+ An initial-boundary value problem for the nonlinear Schrödinger equation 1989 A. S. Fokas
4
+ Long-time behavior of the solution to the mKdV equation with step-like initial data 2011 Alexander Minakov
4
+ Sturm-Liouville operators and their applications 1977 V. А. Marchenko
4
+ Algebrogeometric solutions of a boundary-value problem for the nonlinear Schr�dinger equation 1989 R. F. Bikbaev
A. R. Its
4
+ PDF Chat Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data 2013 Iryna Egorova
Zoya Gladka
Vladimir Kotlyarov
Gerald Teschl
4
+ Influence of viscosity on the structure of shock waves in the MKdV model 1995 R. F. Bikbaev
3
+ Structure of a shock wave in the theory of the Korteweg-De Vries equation 1989 R. F. Bikbaev
3
+ The Burgers equation on the semi-infinite and finite intervals 1989 F. Calogero
S. De Lillo
3
+ On the initial-boundary value problems for soliton equations 2001 A. Degasperis
S. V. Manakov
P. M. Santini
3
+ New direct linearizations for KdV and solutions of the other Cauchy problem 1999 Pierre Sabatier
3
+ Boundary conditions for integrable equations 1987 E. K. Sklyanin
3
+ PDF Chat Initial boundary value problems for integrable systems: towards the long time asymptotics 2010 Anne Boutet de Monvel
Vladimir Kotlyarov
Dmitry Shepelsky
Chunxiong Zheng
3
+ Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach 2000 Percy Deift
3
+ A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I 1975 В. Е. Захаров
A. B. Shabat
3
+ Influence of a double continuous spectrum of the Dirac operator on the asymptotic solitons of a nonlinear Schr�dinger equation 1991 Vladimir Kotlyarov
3
+ Solution of the forced nonlinear schrödinger (nls) equation using pde techniques 1991 Robert Carroll
Qiyue Bu
3
+ Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior 2010 E.A. Moskovchenko
Vladimir Kotlyarov
3
+ Elbow scattering and inverse scattering applications to LKdV and KdV 2000 Pierre Sabatier
3
+ Integrability and Self-Similarity in Transient Stimulated Raman Scattering 1999 A. S. Fokas
Curtis R. Menyuk
3
+ Past and future of inverse problems 2000 Pierre Sabatier
3