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A new Riccati equation rational expansion method and its application to (2 + 1)-dimensional Burgers equation |
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| Authors: | Qi Wang Yong Chen Hongqing Zhang |
| Institution: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, China bNonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China cDepartment of Physics, Shanghai Jiao Tong University, Shanghai 200030, China dM.M. Key Lab, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | In this paper, we present a new Riccati equation rational expansion method to uniformly construct a series of exact solutions for nonlinear evolution equations. Compared with most existing tanh methods and other sophisticated methods, the proposed method not only recover some known solutions, but also find some new and general solutions. The solutions obtained in this paper include rational triangular periodic wave solutions, rational solitary wave solutions and rational wave solutions. The efficiency of the method can be demonstrated on (2 + 1)-dimensional Burgers equation. |
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