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Nonlinear Sciences > Exactly Solvable and Integrable Systems

arXiv:nlin/0404020 (nlin)
[Submitted on 9 Apr 2004 (v1), last revised 4 Jul 2005 (this version, v2)]

Title:Symmetry, Equivalence and Integrable Classes of Abel Equations

Authors:Vyacheslav M. Boyko
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Abstract: 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.
Comments: 8 pages, essentially revised and extended version
Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph)
Cite as: arXiv:nlin/0404020 [nlin.SI]
  (or arXiv:nlin/0404020v2 [nlin.SI] for this version)
  https://doi.org/10.48550/arXiv.nlin/0404020

Submission history

From: Vyacheslav Boyko [view email]
[v1] Fri, 9 Apr 2004 07:37:34 UTC (6 KB)
[v2] Mon, 4 Jul 2005 19:00:17 UTC (9 KB)
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