Computational soliton solutions to (3 + 1)-dimensional generalised Kadomtsev–Petviashvili and (2 + 1)-dimensional Gardner–Kadomtsev–Petviashvili models and their applications

Pramana: Journal of physics

ALY R SEADAWY^3,4¹  SULTAN Z ALAMRI^3³  KALIM U TARIQ^1,2⁴ 

[1] Department of Mathematics, Mirpur University of Science and Technology, Mirpur (AJK) 10250, Pakistan^2;Mathematics Department, Faculty of Science, Beni-Suef University, Beni Suef, Egypt^4;Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia^3;School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, People’s Republic of China^1

关键词: Soliton solutions;    Gardner–Kadomtsev–Petviashvili equation;    generalised Kadomtsev–Petviashvili equation;    auxiliary equation method;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the auxiliary equation method is successfully applied to compute analytical solutions for (3+1)-dimensional generalised Kadomtsev–Petviashvili and (2+1)-dimensional Gardner–Kadomtsev–Petviashvili equations, by introducing simple transformations. These results hold numerous travelling wave solutions that areof key importance which provide a powerful mathematical tool for solving nonlinear wave equations in recent era of applied science and engineering. The method can also be extended to other nonlinear evolution models arisingin contemporary physics.

【 授权许可】

CC BY