Exact travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation using the new approach of generalized (𝐺′/𝐺)-expansion method

Pramana

M Fazlul Hoque¹  M Ali Akbar²  Md Nur Alam1¹ 

[1] Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh$$;Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh$$

关键词: The new generalized (𝐺′/𝐺)-expansion method;    the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation;    nonlinear partial differential equation;    travelling wave solutions.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In this paper, the new generalized (𝐺′/𝐺)-expansion method is executed to find the travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation. The efficiency of this method for finding exact and travelling wave solutions has been demonstrated. It is shown that the new approach of generalized (𝐺′/𝐺)-expansion method is a straightforward and effective mathematical tool for solving nonlinear evolution equations in applied mathematics, mathematical physics and engineering. Moreover, this procedure reduces the large volume of calculations.

【 授权许可】

Unknown