• 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

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/083/03/0317-0329

• # Keywords

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.

• # Abstract

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.

• # Author Affiliations

1. Department of Mathematics, Pabna University of Science and Technology, Pabna, Bangladesh
2. Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

• # Pramana – Journal of Physics

Volume 94, 2020
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019