Using Symbolic Computation to Exactly Solve the Integrable Broer-Kaup Equations in (2+1)-Dimensional Spaces |
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| Authors: | XIE Fu-Ding CHEN Jing LÜ Zhuo-Sheng |
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| Affiliation: | 1. Department of Computer Science, Liaoning Normal University,Dalian 116029, China;2. Key Laboratory of Mathematics Mechanization,Institute of Systems Sciences, Academy of Mathematics and Systems Sciences,the Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | The extended tanh method is further improved by generalizingthe Riccati equation and introducing its twenty seven newsolutions. As its application, the (2+1)-dimensional Broer-Kaupequation is investigated and then its fifty four non-travellingwave solutions have been obtained. The results reported in thispaper show that this method is more powerful than those, such astanh method, extended tanh method, modified extended tanh methodand Riccati equation expansion method introduced in previous literatures. |
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| Keywords: | BK equations symbolic computation non-travelling wave solution |
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