Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation

被引：31

作者：

Gerard, Patrick ^{[1
]}

Zhang, Zhifei ^{[1
,2
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2009年 / 91卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Gross-Pitaevskii equation; Inverse scattering; Orbital stability; Dark solitons;

D O I：

10.1016/j.matpur.2008.09.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross-Pitaevskii equation by using Zakharov-Shabat's inverse scattering method. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：178 / 210

页数：33

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