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Exact travelling wave solutions for a class of nonlinear partial differential equations |
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| Authors: | Fuding Xie Xiaoshan Gao |
| Institution: | a Academy of Mathematics and System Sciences, Chinese Academy of Science, Beijing 100080, PR China b Department of Computer Science, Liaoning Normal University, Dalian, Liaoning 116029, PR China |
| Abstract: | In this paper, the tanh-method is improved by means of a proper rational transformation based upon a coupled projective Riccati equations. The ansatz can be applied to find more and new exact solutions of the partial differential equations with the aid of symbolic computation system, Maple. We choose an example, which includes φ4 equation, Klein–Gordon equation, Duffing equation, Landau–Ginburg–Higgs equation and Sine–Gordon equation, to illustrate the method. |
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