A variety of (3+1)-dimensional mKdV equations derived by using the mKdV recursion operator

被引：10

作者：

Wazwaz, Abdul-Majid ^{[1
]}

机构：

[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

COMPUTERS & FLUIDS | 2014年 / 93卷

关键词：

(3+1)-Dimensional mKdV equation; Recursion operator; Multiple soliton solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; HIROTA 3-SOLITON CONDITION; SINGULAR SOLITON-SOLUTIONS; MULTIPLE KINK SOLUTIONS; INTEGRABLE SYSTEMS; BILINEAR EQUATIONS; BURGERS EQUATIONS; CONSERVATION-LAWS; SYMMETRIES; SEARCH;

D O I：

10.1016/j.compfluid.2014.01.010

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We establish a new variety of (3 + 1)-dimensional modified Korteweg-de Vries (mKdV) equations. The recursion operator of the mKdV equation is used to derive these higher-order dimensional integrable mKdV equations. The new integrable equations generate distinct solitons structures and distinct dispersion relations as well. (C) 2014 Elsevier Ltd. All rights reserved.

引用

收藏

页码：41 / 45

页数：5

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