Solving two fifth order strong nonlinear evolution equations by using the -expansion method

In this paper, new G G ′ -expansion method is successfully implemented to find travelling wave solutions for two fifth order strong nonlinear evolution equations whose balance is not positive integers. As a result, some new exact solutions with parameters are obtained. Compared with other methods, this method is direct, concise, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of nonlinear evolution equations and can be used to solve other nonlinear partial differential equations in mathematical physics.