Auto-Backlund transformation and exact solutions for modified nonlinear dispersive mK(m, n) equations

被引：51

作者：

Chen, Y ^{[1
]}

Li, B ^{[1
]}

Zhang, HQ ^{[1
]}

机构：

[1] Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/S0960-0779(02)00485-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the idea of homogenous balance method and with the help of Mathematica. we obtain a new auto-Backlund transformation for modified nonlinear dispersive equation mK(m, n). Then based on the Backlund transformation, some solitary patterns solution for mK(m, n) equation are derived. In addition. we also obtain the general solutions for mK(m. n) in higher dimensional spatial domains, even in N dimensional space. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：693 / 698

页数：6

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