Symmetry, Equivalence and Integrable Classes of Abel Equations

Details Symmetry, Equivalence and Integrable Classes of Abel Equations Symmetry, Equivalence and Integrable Classes of Abel Equations

2004-04-09

arxiv.org/abs/nlin/0404020v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, essentially revised and extended version

Scientific paper

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.

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