Integrable Abel Equations and Vein's Abel Equation

Authors

S.C. Mancas, Munich University of Applied SciencesFollow
Haret C. Rosu, Instituto Potosino de Investigacion Cientifica y TecnologicaFollow

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

4-2016

Abstract/Description

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.

Publication Title

Mathematical Methods in the Applied Sciences

DOI

https://doi.org/10.1002/mma.3575

Publisher

Wiley

Additional Information

Dr. Mancas was on leave from Embry-Riddle Aeronautical University on an academic fellowship at the Hochschule München at the time this paper was published.

Scholarly Commons Citation

Mancas, S., & Rosu, H. C. (2016). Integrable Abel Equations and Vein's Abel Equation. Mathematical Methods in the Applied Sciences, 39(6). https://doi.org/10.1002/mma.3575