New solitons and periodic wave solutions for some nonlinear physical models by using the sine–cosine method

Abstract

In this paper, we establish exact solutions for nonlinear equations. The sine–cosine method is used to construct periodic and soliton solutions of nonlinear physical models. Many new families of exact travelling wave solutions of the symmetric regularized long-wave (SRLW) and the Klein–Gordon–Zakharov (KGZ) equations are successfully obtained. These solutions may be important for the explanation of some practical physical problems. It is shown that the sine–cosine method provides a powerful mathematical tool for solving a great many nonlinear partial differential equations in mathematical physics.