• Exact travelling solutions for some nonlinear physical models by ($G'/G$)-expansion method

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/077/02/0263-0275

• # Keywords

($G'/G$)-expansion method; travelling wave solutions; two-dimensionalsine-Gordon equation; Dodd–Bullough–Mikhailov equation; Schrödinger–KdV equation.

• # Abstract

In this paper, we establish exact solutions for some special nonlinear partial differential equations. The ($G'/G$)-expansion method is used to construct travelling wave solutions of the twodimensional sine-Gordon equation, Dodd–Bullough–Mikhailov and Schrödinger–KdV equations, which appear in many ﬁelds such as, solid-state physics, nonlinear optics, ﬂuid dynamics, ﬂuid ﬂow, quantum ﬁeld theory, electromagnetic waves and so on. In this method we take the advantage of general solutions of second-order linear ordinary differential equation (LODE) to solve many nonlinear evolution equations effectively. The ($G'/G$)-expansion method is direct, concise and elementary and can be used with a wider applicability for handling many nonlinear wave equations.

• # Author Affiliations

1. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Iran
2. Department of Industrial Engineering, University of Kurdistan, Sanandaj, Iran

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019