On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications

Abstract

In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key importance in elucidating some physical circumstance. The technique can also be functional to other sorts of nonlinear evolution equations in contemporary areas of research. Keyword: Modified Benjamin-Bona-Mahony equation, Drinfel’d-Sokolov-Wilson equation, Auxiliary equation method