Explicit Meromorphic Solutions of a Certain Briot-Bouquet Differential Equations

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