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.
Mathematical Methods in the Applied Sciences
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
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.