Symmetry, Equivalence and Integrable Classes of Abel Equations

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We suggest an approach for description of integrable cases of the Abel equations. It is based on increasing of the order of equations up to the second one and using equivalence transformations for the corresponding second-order ordinary differential equations. The problem of linearizability of the equations under consideration is discussed.
8 pages, essentially revised and extended version

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Exactly Solvable and Integrable Systems, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/80704

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0404020
 http://arxiv.org/abs/nlin/0404020

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arXiv