3 papers
math-ph2019
Dispersive Shock Wave, Generalized Laguerre Polynomials and Asymptotic Solitons of the Focusing Nonlinear Schrödinger Equation
Vladimir Kotlyarov, Alexander Minakov
We consider dispersive shock wave to the focusing nonlinear Schrödinger equation generated by a discontinuous initial condition which is periodic or quasi-periodic on the left semi…
math.AP2003
Characteristic properties of the scattering data for the mKdV equation on the half-line
Anne Boutet de Monvel, Vladimir Kotlyarov
In this paper we describe characteristic properties of the scattering data of the compatible eigenvalue problem for the pair of differential equations related to the modified Korte…
math.AP2002
Soliton asymptotics of rear part of non-localized solutions of the Kadomtsev-Petviashvili equation
A. Boutet de Monvel, E. Khruslov, V. Kotlyarov
We construct non-localized, real global solutions of the Kadomtsev-Petviashvili-I equation which vanish for and study their large time asymptotic behavior. We prove t…