The (3+1)-dimensional Wazwaz-KdV equations: the conservation laws and exact solutions

被引：4

作者：

Akbulut, Arzu ^{[1
]}

Rezazadeh, Hadi ^{[2
]}

Hashemi, Mir Sajjad ^{[3
]}

Tascan, Filiz ^{[1
]}

机构：

[1] Eskisehir Osmangazi Univ, Art Sci Fac, Dept Math Comp, Eskisehir, Turkey

[2] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[3] Univ Bonab, Basic Sci Fac, Dept Math, POB 55513-95133, Bonab, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 02期

关键词：

(3+1)-dimensional modified Wazwaz-KdV equations; auxiliary method; exact solutions; new conservation theorem; 02; 30; Jr; 70; Wz; 94; 05; Fg; 11; -j; PARTIAL-DIFFERENTIAL-EQUATIONS; LIE SYMMETRY ANALYSIS; INVARIANT SOLUTIONS; SOLITON-SOLUTIONS; OPTICAL SOLITONS; EVOLUTION;

D O I：

10.1515/ijnsns-2021-0161

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we dealt with the new conservation theorem and the auxiliary method. We have applied the theorem and method to (3 + 1)-dimensional modified Wazwaz-KdV equations. When we applied a new conservation theorem to given equations, the obtained conservation laws did not satisfy the divergence condition. So, we modified the obtained conservation laws. These conservation laws contain extra terms. Finally, we applied the auxiliary method to given equations. We obtained two solution families with six exact solutions. All the obtained solutions are different from each other. For a suitable value of the solutions, the 3D and 2D surfaces have been plotted by Maple.

引用

页码：673 / 693

页数：21

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