Soliton solution for nonlinear partial differential equations by cosine-function method

In this Letter, we established a traveling wave solution by using Cosine-function algorithm for nonlinear partial differential equations. The method is used to obtain the exact solutions for five different types of nonlinear partial differential equations such as, general equal width wave equation (GEWE), general regularized long wave equation (GRLW), general Korteweg–de Vries equation (GKdV), general improved Korteweg–de Vries equation (GIKdV), and Coupled equal width wave equations (CEWE), which are the important soliton equations.