Explicit Meromorphic Solutions of a Certain Briot-Bouquet Differential Equations

被引：0
|
作者：
Xujie SHI [1 ]
Liangwen LIAO [1 ]
Song ZHANG [1 ]
机构：
[1] Department of Mathematics, Nanjing University
来源：
Chinese Annals of Mathematics,Series B | 2020年 / 03期
基金：
中国国家自然科学基金;
关键词：
Movable poles; Differential equations; Meromorphic solutions;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
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.
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页码：383 / 396
页数：14
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