Novel Exact and Solitary Wave Solutions for The Time-Fractional Nonlinear Maccari's System

被引：1

作者：

Gasmi, Boubekeur ^{[1
]}

Alhakim, Lama ^{[2
]}

Mati, Yazid ^{[2
]}

Moussa, Alaaeddin ^{[2
]}

Akgul, Ali ^{[3
,4
]}

Wannan, Rania ^{[5
]}

Asad, Jihad ^{[6
]}

机构：

[1] Higher Sch Management & Digital Econ, Kolea, Tipaza, Algeria

[2] Qassim Univ, Dept Management Informat Syst & Prod Management, Coll Business & Econ, POB 6666, Buraydah 51452, Saudi Arabia

[3] Siirt Univ, Dept Math, Art & Sci Fac, TR-56100 Siirt, Turkiye

[4] SIMATS, Dept Elect & Commun Engn, Saveetha Sch Engn, Chennai, Tamil Nadu, India

[5] Palestine Tech Univ Kadoorie, Dept Appl Math, Fac Appl Sci, P-305 Tulkarm, Palestine

[6] Palestine Tech Univ Kadoorie, Dept Phys, Fac Appl Sci, P-305 Tulkarm, Palestine

来源：

CONTEMPORARY MATHEMATICS | 2023年 / 4卷 / 04期

关键词：

three coupled Maccari system; the double auxiliary equation method; bifurcation; conformable fractional derivative; exact solutions; EQUATION;

D O I：

10.37256/cm.4420232660

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this research is to find analytical solutions to the time-fractional nonlinear Maccari system. The double auxiliary equation method, which has never been used before, is used to obtain these solutions. The method is cleverly applied, resulting in the generation of nine new exact solitary wave solutions that have never been found before. We also describe the system's dynamic behavior and the bifurcation of traveling waves. Finally, we show some solutions with different coefficient values that correspond to the nine discovered solutions graphically.

引用

页码：937 / 950

页数：14

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