Integrable Abel equations and Vein's Abel equation
Classical Analysis and ODEs
2016-04-04 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equation whose solutions are expressed in terms of the third order hyperbolic functions and a phase space analysis of the corresponding nonlinear oscillator is also provided
Keywords
Cite
@article{arxiv.1505.03548,
title = {Integrable Abel equations and Vein's Abel equation},
author = {Stefan C. Mancas and Haret C Rosu},
journal= {arXiv preprint arXiv:1505.03548},
year = {2016}
}
Comments
12 pages, 4 figures, 17 references, online at Math. Meth. Appl. Sci. since 7/28/2015, published 4/2016