Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type
type: Item
instance of: scholarly article
title: Large-time asymptotics of the solution of the nonlinear Schrödinger equation with boundary conditions of step type
zbMATH Open document ID: 0702.35231
DOI: 10.1007/BF01015504
published in: Theoretical and Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: Asymptotics as \(t\to +\infty\) of the solution to the nonlinear Schrödinger equation \(iu_ t+u_{xx}-2u| u|^ 2=0\) is investigated in the case of initial data tending rapidly as \(x\to \pm \infty\) to different single-gap potentials.
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 4150965
zbMATH Keywords: Schrödinger equation
zbMATH Keywords: Asymptotics
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: single-gap potentials
author: Ramil' F. Bikbaev
MaRDI profile type: Publication
cites work: Q3769640
cites work: Solitons of the nonlinear Schrödinger equation generated by the continuum
cites work: Multiphase averaging and the inverse spectral solution of the Korteweg—de Vries equation
cites work: Q3933335
description: scientific article; zbMATH DE number 4150965