摘要：In this paper, we employ the complex method to first obtain all meromorphic exact solutions of complex Petviashvili equation, and then find all exact solutions of Petviashvili equation. The idea introduced in this paper can be applied to other non-linear evolution equations. Our results show that the complex method is simpler than other methods. Finally, we give some computer simulations to illustrate our main results. MSC:30D35, 34A05.
关键词：Petviashvili equation ; exact solution ; meromorphic function ; elliptic function
