Meromorphic solutions of an auxiliary ordinary differential equation using complex method |
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| Authors: | Wenjun Yuan Yezhou Li Jianming Lin |
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| Affiliation: | 1. School of Mathematics and Information Science, Guangzhou University, , Guangzhou, 510006 China;2. Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, , Guangzhou, 510006 China;3. School of Science, Beijing University of Posts and Telecommunications, , Beijing, 100876 China;4. School of Economic and Management, Guangzhou University of Chinese Medicine, , Guangzhou, 510006 China |
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| Abstract: | In this paper, we employ the complex method to obtain first all meromorphic solutions of an auxiliary ordinary differential equation and then find all meromorphic exact solutions of the classical Korteweg–de Vries equation, Boussinesq equation, ( 3 + 1)‐dimensional Jimbo–Miwa equation, and Benjamin–Bona–Mahony equation. Our results show that the method is more simple than other methods. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | differential equation exact solution meromorphic function elliptic function |
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