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.
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页码：41 / 45
页数：5
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