Full Length Research Paper
Abstract
In this article, we construct new exact traveling wave solutions of some nonlinear evolution equations in mathematical physics with the aid of the modified alternative 
–expansion method. The nonlinear equations under investigation include, the (1+1)-dimensional Drinfeld-Sokolov-Wilson (DSW) equation, the travelling regularised long wave (TRLW) equation, the Caudrey-Dodd-Gibbon (CDG) equation and the (2+1)-dimensional Nizhnik-Novikov-Vesselov (NNV) equation. In the alternative –expansion method, 
satisfies the Riccati equation 
where 
and 
are arbitrary constants. The obtained solutions are expressed in terms of hyperbolic function, trigonometric function and rational functions.
Key words: The -expansion method, the Riccati equation, the traveling wave solutions, the Drinfeld-Sokolov-Wilson equation, the travelling regularised long wave equation, the Caudrey-Dodd-Gibbon equation, the Nizhnik-Novikov-Vesselov equation.
Abbreviation
AMS Mathematics Subject Classification: 35K99, 35P05, 35P99.
Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0
