Exact Solutions of Nonlinear Diffusive Predator-Prey System by New Extension of Tanh Method

摘要

In this paper at first basic relations for obtaining the nonlinear diffusive predator-prey system and preliminaries for integrable families of Riccati equations are presented, then by using of solutions of Riccati equations in new extension of tanh method, we get the new exact solutionsfor diffusive predator-prey system. The present generalized method is efficient, powerful, straightforward, concise and we suggest that the method can also be implemented to other nonlinear evaluation equations.