On the Integrability and Equivalence of the Abel Equation and Some Polynomial Equations

On the Integrability and Equivalence of the Abel Equation and Some Polynomial Equations

Year:    2019

Author:    Yuexin Yan, Yingxin Pan, Feifei Lu, Zhengxin Zhou

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 207–220

Abstract

In this paper, first of all we give the necessary and sufficient conditions of the center of a class of planar quintic differential systems by using reflecting function method, and provide a simple proof of this results. Secondly, We use the reflecting integral to research the equivalence of the Abel equation and some complicated equations and derive their center conditions and discuss their integrability.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2019.207

Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 207–220

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Center condition integrability reflecting integral equivalence.

Author Details

Yuexin Yan

Yingxin Pan

Feifei Lu

Zhengxin Zhou