Integrable Abel equations and Vein's Abel equation
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
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Classical Analysis and ODEs
Mathematical Physics
Mathematical Physics
Exactly Solvable and Integrable Systems