On the Conservation Laws and Exact Solutions to the (3+1)-Dimensional Modified KdV-Zakharov-Kuznetsov Equation

被引：23
|
作者：
Akbulut, Arzu [1 ]
Almusawa, Hassan [2 ]
Kaplan, Melike [3 ]
Osman, Mohamed S. [4 ,5 ]
机构：
[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, TR-26040 Eskisehir, Turkey
[2] Jazan Univ, Dept Math, Coll Sci, Jazan 45142, Saudi Arabia
[3] Kastamonu Univ, Art Sci Fac, Dept Math, TR-37150 Kastamonu, Turkey
[4] Cairo Univ, Dept Math, Fac Sci, Giza 12613, Egypt
[5] Umm Alqurah Univ, Fac Sci Appl, Dept Math, Mecca 21955, Saudi Arabia
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 05期
关键词：
conservation laws; partial differential equations; exact solutions; symbolic computation; TRAVELING-WAVE SOLUTIONS; EVOLUTION-EQUATIONS; EXPLICIT METHODS; SYMMETRIES; MODEL;
D O I：
10.3390/sym13050765
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we consider conservation laws and exact solutions of the (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation. Firstly, we construct conservation laws of the given equation with the help of the conservation theorem; the developed conservation laws are modified conservation laws. Then, we obtain exact solutions of the given equation via the (G'/G, 1/G)expansion method. The obtained solutions are classified as trigonometric solutions, hyperbolic solutions and rational solutions. Furthermore, graphical representations of the obtained solutions are given.
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收藏
页数：17
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