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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
Coauthor
Papers Together
Anne Boutet de Monvel
13
E. Ya. Khruslov
7
Dmitry Shepelsky
5
Alexander Minakov
5
Alexander Its
3
Igor Anders
3
Minakov Alexander
1
V. B. Baranetskii
1
F. S. Rofe-Beketov
1
А. А. Минаков
1
E.A. Moskovchenko
1
Werner Kirsch
1
Iryna Egorova
1
L. А. Pastur
1
Gerald Teschl
1
Chunxiong Zheng
1
Сергей Петрович Новиков
1
Anatoly Mykhailovych Samoilenko
1
Zoya Gladka
1
Клавдий Вениаминович Маслов
1
Oleksandr Minakov
1
В. Е. Захаров
1
Yurii Makarovich Berezanskii
1
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