The modified Exp-function method and its applications to the generalized K(n,n) and BBM equations with variable coefficients

Abstract

In this article, the modified exp-function method is used to construct many exact solutions to the nonlineargeneralized K(n,n) and BBM equations with variable coefficients. Under different parameter conditions, explicitformulas for some new exact solutions are successfully obtained. The proposed solutions are found to beimportant for the explanation of some practical physical problems.