TY - JOUR
T1 - On the Integrability and Equivalence of the Abel Equation and Some Polynomial Equations
AU - Yan , Yuexin
AU - Pan , Yingxin
AU - Lu , Feifei
AU - Zhou , Zhengxin
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 207
EP - 220
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.207
UR - https://global-sci.org/intro/article_detail/jnma/18858.html
KW - Center condition, integrability, reflecting integral, equivalence.
AB - <p style="text-align: justify;">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.</p>