The asymptotic solutions to a class of nonlinear disturbed evolution equations

A class of nonlinear evolution equations was considered. Firstly, introducing a travelling wave transform, the non-disturbance case was discussed by employing the undetermined coefficient method of the hyperbolic functions and solitary exact solution to the corresponding nonlinear equation was obtained. Then, the solitary travelling wave asymptotic solution to the original nonlinear disturbed evolution equation was founded by using the generalized variational iteration method. Finally, an example was given to show the simplicity and feasibility of the asymptotic solitary solution.