Symbolic computation and a uniform direct ansätze method for constructing travelling wave solutions of nonlinear evolution equations |
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| Authors: | Hongyan Zhi Hongqing Zhang |
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| Affiliation: | 1. College of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, Shandong Province, China;2. Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | On the basis of the computer symbolic system Maple and the tanh method, the Riccati equation method as well as all kinds of improved versions of these methods, we present a further uniform direct ansätze method for constructing travelling wave solutions of nonlinear evolution equations. Compared with the existing methods, the presented method can be used to construct more new general solutions. And we give some examples to illustrate the key step of our method. |
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| Keywords: | Travelling wave solution Direct ansä tze method Nonlinear evolution equation |
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