Soliton solutions to the DS and generalized DS system via an analytical method

In this article, we establish exact solutions for nonlinear Drinfeld-Sokolov (DS) and generalized Drinfeld-Sokolov (gDS) equations. The Exp-function method (EFM) is used to construct solitary and soliton solutions of nonlinear evolution equations. This method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. Also exact solutions with solitons and periodic structures are obtained.

Keywords:

Exp-function method , Nonlinear partial differential equation , Drinfeld-Sokolov system , Generalized Drinfeld-Sokolov , Solitons and periodic structures , traveling wave solution