The N-soliton solutions of some soliton equations with self-consistent sources

被引：68

作者：

Zhang, DJ ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2003年 / 18卷 / 01期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/S0960-0779(02)00636-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The hierarchy of the mKdV-sine-Gordon equation with self-consistent sources is derived. The N-soliton solutions of the mKdV-sine-Gordon equation with N self-consistent sources are obtained through Hirota method and Wronskian technique, respectively, from which we also reduce solutions for some soliton equations with self-consistent sources, such as one-dimensional atomic grid equation with self-consistent sources, the sine-Gordon equation with self-consistent sources. the mKdV equation with self-consistent sources and the KdV equation with self-consistent Sources (KdVESCS). Finally. the mixed rational-soliton Solutions in Wronskian form for the KdVESCS are discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：31 / 43

页数：13

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