New application of (G′/G)-expansion method to high-dimensional nonlinear physical equations

被引：30

作者：

Ma Yu-Lan ^{[1
]}

Li Bang-Qing ^{[1
]}

Sun Jian-Zhi ^{[1
]}

机构：

[1] Beijing Technol & Business Univ, Sch Comp & Informat Engn, Beijing 100048, Peoples R China

来源：

ACTA PHYSICA SINICA | 2009年 / 58卷 / 11期

关键词：

(G '/G)-expansion method; Burgers system; soliton structure; chaotic pattern; SOLITARY WAVE SOLUTIONS; VARIABLE SEPARATION; ELLIPTIC FUNCTION; EXPANSION METHOD; EXCITATIONS;

D O I：

10.7498/aps.58.7402

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The (G'/G)-expansion method is firstly extended to construct exact non-traveling wave general solutions of high-dimensional nonlinear equations, explore special soliton-structure excitation and evolution, and investigate the chaotic patterns and evolution of these solutions. Taking as an example, new non-traveling solutions are calculated for (3 + 1)-dimensional nonlinear Burgers system by using the (G'/G)-expansion method. By setting properly the arbitrary function in the solutions, special soliton-structure excitation and evolution are observed, and the chaotic patterns and evolution are studied for the solutions.

引用

页码：7402 / 7409

页数：8

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