New exact solutions of (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation by Sardar-subequation method

被引:33
|
作者
Yasin, Sadia [1 ]
Khan, Asif [2 ]
Ahmad, Shabir [2 ]
Osman, M. S. [3 ]
机构
[1] Univ Okara, Dept Math, Okara, Pakistan
[2] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
[3] Cairo Univ, Fac Sci, Dept Math, Giza 12613, Egypt
关键词
Sardar-subequation method; (3+1)-dimensional modified; Solitary wave; Periodic solutions; SOLITARY WAVE SOLUTIONS;
D O I
10.1007/s11082-023-05558-2
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
New solitary wave solutions are developed for various shapes of three-dimensional nonlinear partial differential equations using the Sardar-Subequation method. Some periodic solitary wave solutions, including bright, dark, dark-bright, and singular periodic soliton solutions, are obtained. These solutions have broad applications in a particular category of applied sciences and physics. Graphical representations of the obtained results have been created using Maple 18 software to illustrate the accuracy and simplicity of the proposed method. Two-dimensional (2-D), three-dimensional (3-D), and 2-D contour plots have been used to depict the physical behavior of the observed patterns by incorporating relevant parameters. To demonstrate the robustness, sustainability, capability, and effectiveness of the present method, we have applied it to solve the nonlinear (3+1)-dimensional modified KdV-Zakharov-Kuznetsov equation.
引用
收藏
页数:15
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