New Generalized Transformation Method and Its Application in Higher-Dimensional Soliton Equation

被引：0
|
作者：
BAI Cheng-Lin GUO Zong-Lin ZHAO Hong Physical Science and Information Engineering School
机构：
来源：
Communications in Theoretical Physics | 2006年 / 45卷 / 03期
基金：
中国国家自然科学基金;
关键词：
new generalized transformation method; exact solution; (3+1)-dimensional breaking soliton equation; KdV equation; mKdV equation; cubic nonlinear Klein-Gordon equation;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程]; O411.1 [数学物理方法];
学科分类号：
0701 ; 070104 ;
摘要：
A new generalized transformation method is presented to find more exact solutions of nonlinear partialdifferential equation.As an application of the method,we choose the(3+1)-dimensional breaking soliton equation toillustrate the method.As a result many types of explicit and exact traveling wave solutions,which contain solitary wavesolutions,trigonometric function solutions,Jacobian elliptic function solutions,and rational solutions,are obtained.Thenew method can be extended to other nonlinear partial differential equations in mathematical physics.
引用
收藏
页码：447 / 451
页数：5
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