A STUDY OF A GENERALIZED FIRST EXTENDED (3+1)-DIMENSIONAL JIMBO-MIWA EQUATION

被引：4

作者：

Khalique, Chaudry Masood ^{[1
,2
]}

Moleleki, Letlhogonolo Daddy ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Int Inst Symmetry Anal & Math Modelling, Mafikeng Campus,Private Bag X 2046, ZA-2735 Mmabatho, South Africa

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Dept Math, Qingdao 266590, Shandong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 10期

关键词：

A generalized first extended (3+1)-dimensional Jimbo-Miwa equation; symmetry reductions; exact solutions; (G '/G) expansion method; conservation laws; TRAVELING-WAVE SOLUTIONS; MULTIPLE-SOLITON SOLUTIONS; KINK SOLUTIONS; LUMP; KDV;

D O I：

10.3934/dcdss.2020169

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims to study a generalized first extended (3+1)- dimensional Jimbo-Miwa equation. Symmetry reductions on this equation are performed several times and it is reduced to a nonlinear fourth-order ordinary differential equation. The general solution of this ordinary differential equation is found in terms of the incomplete elliptic integral function. Also exact solutions are constructed using the (G '/G) expansion method. Thereafter the conservation laws of the underlying equation are computed by invoking the conservation theorem due to Ibragimov. The conservation laws obtained contain an energy conservation law and three momentum conservation laws.

引用

页码：2789 / 2802

页数：14

共 50 条

[1] On integrability of the extended (3+1)-dimensional Jimbo-Miwa equation
Liu, Jian-gen
Yang, Xiao-jun
Feng, Yi-ying
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (04) : 1646 - 1659
[2] Multiwave interaction solutions for the (3+1)-dimensional extended Jimbo-Miwa equation
Cui, Wenying
Li, Wei
Liu, Yinping
MODERN PHYSICS LETTERS B, 2020, 34 (35):
[3] Lump and lump kink solutions of the (3+1)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations
Sun, Hong-Qian
Chen, Ai-Hua
APPLIED MATHEMATICS LETTERS, 2017, 68 : 55 - 61
[4] New solutions of the 3+1 dimensional Jimbo-Miwa equation
Liu, XQ
Song, J
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 177 - 184
[5] General lump-type solutions of the (3+1)-dimensional Jimbo-Miwa equation
Yong, Xuelin
Li, Xijia
Huang, Yehui
APPLIED MATHEMATICS LETTERS, 2018, 86 : 222 - 228
[6] Localized waves and interaction solutions to an extended (3+1)-dimensional Jimbo-Miwa equation
Yue, Yunfei
Huang, Lili
Chen, Yong
APPLIED MATHEMATICS LETTERS, 2019, 89 : 70 - 77
[7] New exact solutions for (3+1)-dimensional Jimbo-Miwa equation
Singh, Manjit
NONLINEAR DYNAMICS, 2016, 84 (02) : 875 - 880
[8] Novel interaction phenomena of the (3+1)-dimensional Jimbo-Miwa equation*
Wang, Xiaomin
Bilige, Sudao
COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (04)
[9] Conservation laws and exact solutions of the (3+1)-dimensional Jimbo-Miwa equation
Manafian, Jalil
Alimirzaluo, Elnaz
Nadjafikhah, Mehdi
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01):
[10] Lump-Type Solutions to the (3+1)-Dimensional Jimbo-Miwa Equation
Ma, Wen-Xiu
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2016, 17 (7-8) : 355 - 359

← 1 2 3 4 5 →