A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations |
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| Authors: | Guo-cheng Wu Tie-cheng Xia |
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| Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | With the aid of the symbolic computation, we improve Xie's algorithm F. Xie, Z.Y. Yan, H. Zhang, Phys. Lett. A 285 (2001) 76], and present a new extended method. Based on the new general ansatz (3), we successfully solve a compound KdV-MKdV equation, and obtain some special solutions which contain soliton solutions, and periodic solutions. The method can also be applied to other nonlinear partial differential equations. |
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| Keywords: | Soliton solutions Periodic solutions Nonlinear evolution equation |
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