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

Authors

  • Yuexin Yan
  • Yingxin Pan
  • Feifei Lu School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu225009, China 
  • Zhengxin Zhou

DOI:

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

Keywords:

Center condition, integrability, reflecting integral, equivalence.

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.

Downloads

Published

2024-04-10

Abstract View

  • 22055

Pdf View

  • 2405

Issue

Vol. 1 No. 2 (2019)

Section

Articles

How to Cite

On the Integrability and Equivalence of the Abel Equation and Some Polynomial Equations. (2024). Journal of Nonlinear Modeling and Analysis, 1(2), 207-220. https://doi.org/10.12150/jnma.2019.207