Article
Integrable Abel Equations and Vein's Abel Equation
Mathematical Methods in the Applied Sciences
Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Article
Publication/Presentation Date
4-1-2016
Disciplines
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.
DOI
https://doi.org/10.1002/mma.3575
Publisher
Wiley
Citation Information
S.C. Mancas and Haret C. Rosu. "Integrable Abel Equations and Vein's Abel Equation" Mathematical Methods in the Applied Sciences Vol. 39 Iss. 6 (2016) p. 1376 - 1387 Available at: http://works.bepress.com/stefani_mancas/35/
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.