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| Explicit Meromorphic Solutions of a Certain Briot-Bouquet Differential Equations |
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Citation： |
Xujie SHI,Liangwen LIAO,Song ZHANG.Explicit Meromorphic Solutions of a Certain Briot-Bouquet Differential Equations[J].Chinese Annals of Mathematics B,2020,41(3):383~396 |
| Page view： 791
Net amount： 741 |
Authors： |
Xujie SHI; Liangwen LIAO;Song ZHANG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11671191). |
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| Abstract： |
This paper deals with the Briot-Bouquet differential equations with
degree three. The previous result shows that all the meromorphic
solutions belong to $W.$ Here, by applying the Kowalevski-Gambier
method, the authors give all the possible explicit meromorphic
solutions. The result is more applicable. Also, this method can be
used to deal with the more general Briot-Bouquet differential
equations. |
Keywords： |
Movable poles, Differential equations, Meromorphic solutions |
Classification： |
30D35, 33E30, 30D30 |
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