Backlund transformations, Lax system, conservation laws and multisoliton solutions for Jimbo-Miwa equation with Bell-polynomials

被引：26
|
作者：
Singh, Manjit [1 ]
Gupta, R. K. [1 ]
机构：
[1] Thapar Univ, Sch Math, Patiala 147004, Punjab, India
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2016年 / 37卷
关键词：
Bell polynomials; Jimbo-Miwa equation; Lax system; Backlund transformations; Infinite conservation laws; Extended three wave method; DE-VRIES EQUATION; SOLITON-SOLUTIONS; INTEGRABILITY; COMBINATORICS;
D O I：
10.1016/j.cnsns.2016.01.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on binary Bell polynomial approach, the bilinear equation and Backlund transformations for (3+1)-dimensional Jimbo-Miwa equation are obtained. By virtue of Cole-Hopf transformation, Lax system is constructed by direct linearization of coupled system of binary Bell polynomials. Furthermore, infinite conservation laws are obtained from two field condition in quick and natural way. Finally, a test function of extended three wave method is used to construct multisoliton solutions via bilinear equation. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：362 / 373
页数：12
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