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,
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页码：376 / 381
页数：6
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