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.

引用

页码：383 / 396

页数：14