Backlund transformation and multi-soliton solutions for a (2+1)-dimensional Korteweg-de Vries system via symbolic computation

被引：6

作者：

Geng, Tao ^{[1
]}

Meng, Xiang-Hua ^{[1
]}

Shan, Wen-Rui ^{[1
]}

Tian, Bo ^{[1
,2
,3
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 04期

关键词：

N-soliton solution; Backlund transformation; Bilinear form; Symbolic computation; NONLINEAR SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; DARBOUX; FORM;

D O I：

10.1016/j.amc.2009.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the (2 + 1)-dimensional Korteweg-de Vries system is symbolically investigated. By the bilinear method, the N-soliton solution is presented. Then, based on the Backlund transformation in bilinear form, a new Backlund transformation is obtained and new representation of the N-soliton solution is derived. A class of novel multi-soliton solutions are obtained by the new Backlund transformation and the availability of symbolic computation is demonstrated. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1470 / 1475

页数：6

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