Asymptotic stability of nonlinear Schrödinger equations with potential

Zhou Gang; I. M. Sigal

doi:10.1142/S0129055X05002522

Asymptotic stability of nonlinear Schrödinger equations with potential

Zhou Gang
, I. M. Sigal

Mathematics and Statistics

Binghamton University

University of Toronto

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

We prove asymptotic stability of trapped solitons in the generalized nonlinear Schrödinger equation with a potential in dimension 1 and for even potential and even initial conditions.

Original language	English
Pages (from-to)	1143-1207
Number of pages	65
Journal	Reviews in Mathematical Physics
Volume	17
Issue number	10
DOIs	https://doi.org/10.1142/S0129055X05002522
State	Published - Nov 2005

Keywords

Asymptotic stability
Nonlinear Schrödinger equations
Potential
Soliton

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title = "Asymptotic stability of nonlinear Schr{\"o}dinger equations with potential",

abstract = "We prove asymptotic stability of trapped solitons in the generalized nonlinear Schr{\"o}dinger equation with a potential in dimension 1 and for even potential and even initial conditions.",

keywords = "Asymptotic stability, Nonlinear Schr{\"o}dinger equations, Potential, Soliton",

author = "Zhou Gang and Sigal, \{I. M.\}",

year = "2005",

month = nov,

doi = "10.1142/S0129055X05002522",

language = "English",

volume = "17",

pages = "1143--1207",

journal = "Reviews in Mathematical Physics",

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T1 - Asymptotic stability of nonlinear Schrödinger equations with potential

AU - Gang, Zhou

AU - Sigal, I. M.

PY - 2005/11

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N2 - We prove asymptotic stability of trapped solitons in the generalized nonlinear Schrödinger equation with a potential in dimension 1 and for even potential and even initial conditions.

AB - We prove asymptotic stability of trapped solitons in the generalized nonlinear Schrödinger equation with a potential in dimension 1 and for even potential and even initial conditions.

KW - Asymptotic stability

KW - Nonlinear Schrödinger equations

KW - Potential

KW - Soliton

UR - https://www.scopus.com/pages/publications/27944461890

U2 - 10.1142/S0129055X05002522

DO - 10.1142/S0129055X05002522

M3 - Article

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VL - 17

SP - 1143

EP - 1207

JO - Reviews in Mathematical Physics

JF - Reviews in Mathematical Physics

IS - 10

ER -

Asymptotic stability of nonlinear Schrödinger equations with potential

Abstract

Keywords

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