Exact solutions to a nonlinearly dispersive Schrodinger equation

被引：32
作者：
Geng, Yixiang [1 ,2 ]
Li, Jibin [1 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Peoples R China
[2] Qujing Normal Univ, Dept Math, Qujing 655000, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 195卷 / 02期
基金：
中国国家自然科学基金;
关键词：
solitary patterns; periodic patterns; compactons; breather solutions; theory of bifurcation; nonlinearly dispersive Schrodinger equation;
D O I：
10.1016/j.amc.2007.04.119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using the theory of dynamical systems to a nonlinearly dispersive Schrodinger equation, the existence of solitary patterns, compactons, smooth and non-smooth periodic patterns and breather solutions is obtained. Under different Parametric conditions, various sufficient conditions to guarantee existence of the above solutions are given. In some simple conditions, exact explicit and implicit parametric representations of solutions are given. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：420 / 439
页数：20
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