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
收藏
页码：178 / 210
页数：33
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