Integrable Abel equations and Vein's Abel equation

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

12 pages, 4 figures, 17 references, online at Math. Meth. Appl. Sci. since 7/28/2015, published 4/2016

References in corpus (1)

• Exact solutions of the Liénard and generalized Liénard type ordinary non-linear differential equations obtained by deforming the phase space coordinates of the linear harmonic oscillator

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