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

页码：41 / 45

页数：5

共 50 条

[21] (2+1)-Dimensional Burgers equations BE(m+n+1): Using the recursion operator
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 9057 - 9068
[22] Analyzing diverse soliton wave profiles and bifurcation analysis of the (3+1)-dimensional mKdV-ZK model via two analytical schemes
Arafat, S. M. Yiasir
Saklayen, M. A.
Islam, S. M. Rayhanul
AIP ADVANCES, 2025, 15 (01)
[23] Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method
Wazwaz, Abdul-Majid
APPLIED MATHEMATICS AND COMPUTATION, 2006, 181 (02) : 1713 - 1719
[24] Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV–ZK equation in ion-acoustic waves
S. Sahoo
S. Saha Ray
Nonlinear Dynamics, 2017, 90 : 1105 - 1113
[25] (3+1)维时空分数阶mKdV-ZK方程的新精确解
洪韵
孙峪怀
江林
张雪
四川大学学报(自然科学版), 2017, (04) : 679 - 682
[26] Exact travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation using the new approach of generalized (G′/G)-expansion method
Alam, Md Nur
Akbar, M. Ali
Hoque, M. Fazlul
PRAMANA-JOURNAL OF PHYSICS, 2014, 83 (03): : 317 - 329
[27] On integrability of a (2+1)-dimensional MKdV-type equation
Peng, Ling-Zhi
Zhang, Meng-Xia
Gegenhasi
Liu, Q. P.
PHYSICS LETTERS A, 2008, 372 (23) : 4197 - 4204
[28] Lax pairs, recursion operators and bi-Hamiltonian representations of (3+1)-dimensional Hirota type equations
Sheftel, M. B.
Yazici, D.
JOURNAL OF GEOMETRY AND PHYSICS, 2019, 136 : 207 - 227
[29] Analysis of Lie symmetries with conservation laws for the (3+1) dimensional time-fractional mKdV-ZK equation in ion-acoustic waves
Sahoo, S.
Ray, S. Saha
NONLINEAR DYNAMICS, 2017, 90 (02) : 1105 - 1113
[30] (2+1)-dimensional Korteweg-de Vries (N) equations derived by using the Korteweg-de Vries recursion operator
Wazwaz, Abdul-Majid
PHYSICA SCRIPTA, 2012, 86 (06)

← 1 2 3 4 5 →