Trial equation method and its applications to nonlinear evolution equations

A new method, that is, trial equation method, was given to obtain the exact traveling wave solutions for nonlinear evolution equations. As an example, a class of fifth-order nonlinear evolution equations was discussed. Its exact traveling wave solutions, which included rational form solutions, Solitary wave solutions, triangle function periodic solutions, polynomial type Jacobian elliptic function periodic solutions and fractional type Jacobian elliptic function periodic solutions, were given.