All Meromorphic Solutions of Some Algebraic Differential Equations |
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| Authors: | Wenjun Yuan Zifeng Huang Jinchun Lai Jianming Qi |
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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 HigherEducation Institutes, Guangzhou University, Guangzhou 510006, China [3]Department of Mathematics and Physics, Shanghai Dianji University,Shanghai 201306, China |
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| Abstract: | ![]()
In this article, we introduce some results with respect to the integrality and exact solutions of some 2nd order algebraic DEs. We obtain the sufficient and necessary conditions of integrable and the general meromorphic solutions of these equations by the complex method, which improves the corresponding results obtained by many authors. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics. |
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| Keywords: | Differential equation general solution meromorphic function elliptic function. |
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