Comments on “A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method”

摘要

In their recent manuscript Lei Zhao et al. claim that they have constructed an algorithm for automatic construction of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method. We argue that this algorithm does inherit all problems associated to the Exp-function method. We show that this algorithm produces solutions which do not satisfy the original differential equation. Even if the solutions would be correct, the Exp-function method would not be able to determine necessary and sufficient conditions for the existence of solitary solutions in the space of initial conditions and parameters.