Extended transformed rational function method and applications to complexiton solutions

The transformed rational function method provides a systematical and convenient handling of the solution process of nonlinear equations, unifying the tanh function type methods, the homogeneous balance method, the exp-function method, the mapping method, and the F-expansion type methods. In this paper, the transformed rational function method is improved and the extended method is used to obtain complexiton solutions to some nonlinear differential equations.