• Multiple ($G'/G$)-expansion method and its applications to nonlinear evolution equations in mathematical physics

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/078/03/0375-0388

• # Keywords

Nonlinear evolution equation; extended multiple ($G'/G$)-expansion method; complexiton solutions; double solitary-like wave solution.

• # Abstract

In this paper, an extended multiple ($G'/G$)-expansion method is proposed to seek exact solutions of nonlinear evolution equations. The validity and advantages of the proposed method is illustrated by its applications to the Sharma–Tasso–Olver equation, the sixth-order Ramani equation, the generalized shallow water wave equation, the Caudrey–Dodd–Gibbon–Sawada–Kotera equation, the sixth-order Boussinesq equation and the Hirota–Satsuma equations. As a result, various complexiton solutions consisting of hyperbolic functions, trigonometric functions, rational functions and their mixture with parameters are obtained. When some parameters are taken as special values, the known double solitary-like wave solutions are derived from the double hyperbolic function solution. In addition, this method can also be used to deal with some high-dimensional and variable coefﬁcients’ nonlinear evolution equations.

• # Author Affiliations

1. Department of Mathematics, Ningbo University, Ningbo 315211, People’s Republic of China

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019