Discrete modified Boussinesq equation and Darboux transformation

被引：2

作者：

Shi, Ying ^{[1
]}

Zhao, Junxiao ^{[2
]}

机构：

[1] Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Zhejiang, Peoples R China

[2] Univ Glasgow, Sch Math & Stat, Univ Pl, Glasgow G12 8QQ, Lanark, Scotland

来源：

APPLIED MATHEMATICS LETTERS | 2018年 / 86卷

基金：

中国国家自然科学基金;

关键词：

Discrete modified Boussinesq; Hirota-Miwa equation; Darboux transformation; Casoratian determinant; Soliton solution;

D O I：

10.1016/j.aml.2018.06.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this letter, by a 3-periodic reduction technique, we regain the well-known discrete modified Boussinesq equation and its Lax pairs. It is the first time that the Darboux transformation is successfully constructed for this discrete equation. We then obtain its explicit solutions in terms of Casoratian determinants. The derived solutions are soliton solutions when the seed solutions are taken as v = 1 and w = 1. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：141 / 148

页数：8

共 17 条

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