Diffraction in a nonlinear defocusing medium

DOI10.1007/BF01098971zbMath0741.35078MaRDI QIDQ1189006

Ramil' F. Bikbaev

Publication date: 26 September 1992

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

inverse scatteringmethod of Riemann matrixtechnique of Whitham's deformations of spectral curves

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

Shock waves in one-dimensional models with cubic nonlinearity ⋮ Shock waves in the modified Korteweg-de Vries-Burgers equation ⋮ Quasi-classical approach to the inverse scattering problem for the KdV equation, and solution of the Whitham modulation equations ⋮ Focusing nonlocal nonlinear Schrödinger equation with asymmetric boundary conditions: large-time behavior

Cites Work

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• Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type

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