New generalized and improved (G′/G)-expansion method for nonlinear evolution equations in mathematical physics

Authors

1 Department of Mathematics and Natural Sciences, BRAC University, 66 Mohakhali, Dhaka 1212, Bangladesh

2 School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

Abstract

In this article, new extension of the generalized and improved (G0/G)-expansion method
is proposed for constructing more general and a rich class of new exact traveling wave solutions of
nonlinear evolution equations. To demonstrate the novelty and motivation of the proposed method, we implement it to the Korteweg-de Vries (KdV) equation. The new method is oriented toward the ease of utilize and capability of computer algebraic system and provides a more systematic, convenient handling of the solution process of nonlinear equations. Further, obtained solutions disclose a wider range of applicability for handling a large variety of nonlinear partial differential equations.

Keywords