BIFURCATIONS OF TRAVELING WAVE SOLUTIONS AND EXACT SOLUTIONS FOR THE GENERALIZED SCHRODINGER EQUATION

被引：0

作者：

Zhang, Jianming ^{[1
]}

Li, Shuming ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

[2] Kunming Univ Sci & Technol, Sch Sci, Kunming 650093, Yunnan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Nonlinear wave; bifurcation; exact explicit traveling wave solution; soliton solution; generalized Schrodinger equation;

D O I：

10.1142/S0218127411029987

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the method of dynamical systems for the generalized Schrodinger equation, the bright soliton solution, dark soliton solution, uncountably infinite many periodic wave solutions and breaking bounded wave solutions are obtained. Exact explicit parametric representations of the bounded traveling solutions are given. To guarantee the existence of the above solutions, all parameter conditions are determined.

引用

页码：2623 / 2628

页数：6

共 6 条

[1] Bright and dark solitons of the generalized nonlinear Schrodinger's equation [J].

Biswas, Anjan ;

Milovic, Daniela .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) :1473-1484

[2]

Byrd P.F., 1971, HDB ELLIPTIC INTEGRA

[3]

Li J., 2007, STUDY SINGULAR NONLI

[4] Bifurcations of traveling wave solutions for four classes of nonlinear wave equations [J].

Li, JB ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (12) :3973-3998

[5] On a class of singular nonlinear traveling wave equations [J].

Li, Jibin ;

Chen, Guanrong .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (11) :4049-4065

[6] The tanh method and a variable separated ODE method for solving double sine-Gordon equation [J].

Wazwaz, AM .

PHYSICS LETTERS A, 2006, 350 (5-6) :367-370

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