Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations

被引：65

作者：

Xu, Gui-qiong ^{[1
]}

机构：

[1] Shanghai Univ, Dept Informat Management, Coll Management, Shanghai 200444, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

关键词：

TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; FUNCTION EXPANSION METHOD; SUB-ODE METHOD; SOLITARY; INTEGRABILITY; EXPLICIT; PULSES;

D O I：

10.1155/2014/541370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-Eckhaus equation. Not only are the Jacobian elliptic function solutions are derived, but also the solitary wave solutions and trigonometric function solutions are obtained in a unified way.

引用

页数：7

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