Wronskian and Grammian solutions for a (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation

被引：44
|
作者：
Yuan, Yu-Qiang
Tian, Bo [1 ]
Sun, Wen-Rong
Chai, Jun
Liu, Lei
机构：
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Date-Jimbo-Kashiwara-Miwa equation; Backlund transformation; Wronskian; Grammian; NONLINEAR EVOLUTION-EQUATIONS; SOLITON-SOLUTIONS; EXPLICIT SOLUTIONS; BOUSSINESQ EQUATION; RATIONAL SOLUTIONS; TRANSFORMATION; PLASMA; SYSTEM;
D O I：
10.1016/j.camwa.2017.06.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation is investigated. Based on the Hirota method and auxiliary variable, Backlund transformation is obtained. Under certain conditions, the Hirota bilinear forms can be reducecd to the Plucker and Jacobi identities via the Wronskian and Grammian solutions. Through the Wronskian technique and Pfaffian derivative formulae, N-soliton solutions in the Wronskian and Grammian are given. Graphically presented, soliton collisions are elastic both in the Wronskian and Grammian, and after each collision, the solitons keep their amplitudes unchanged except for the phase shifts. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：873 / 879
页数：7
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