The limit solutions of the difference-difference KdV equation

被引：4

作者：

Chen, Peng ^{[1
]}

Wang, Guang-sheng ^{[1
]}

Zhang, Da-jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 40卷 / 01期

基金：

中国国家自然科学基金;

关键词：

MULTIPLE-POLE SOLUTIONS; DE-VRIES EQUATION; BACKLUND TRANSFORMATION; MULTISOLITON SOLUTIONS; SOLITON-SOLUTIONS;

D O I：

10.1016/j.chaos.2007.07.072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes ail exact limit procedure by which a simple formula for the N-double-pole solution to the difference-difference KdV equation is derived from its 2N-soliton solution in Hirota's form. This limit procedure is general and call apply to other soliton equations with multi-soliton solutions in Hirota's form. (C) 2007 Elsevier Ltd. All rights reserved,

引用

页码：376 / 381

页数：6

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