EXISTENCE AND ORBITAL STABILITY OF PERIODIC WAVE SOLUTIONS FOR THE NONLINEAR SCHRoDINGER EQUATION

被引：0

作者：

Chen, Aiyong ^{[1
,2
]}

Wen, Shuangquan ^{[1
]}

Huang, Wentao ^{[1
]}

机构：

[1] Guilin Univ Elect technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2012年 / 2卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Schrodinger equation; orbital stability; periodic wave solution; Picard-Fuchs equattion; SOLITARY WAVES; MONOTONICITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and orbital stability of periodic wave solutions for the Schrodinger equation. The existence of periodic wave solution is obtained by using the phase portrait analytical technique. The stability approach is based on the theory developed by Angulo for periodic eigenvalue problems. A crucial condition of orbital stability of periodic wave solutions is proved by using qualitative theory of ordinal differential equations. The results presented in this paper improve the previous approach, because the proving approach does not dependent on complete elliptic integral of first kind and second kind.

引用

页码：137 / 148

页数：12

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