Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 1, Pages 53–74 (Mi nd208)  

Integrable systems on the sphere associated with genus three algebraic curves

V. A. Khudobakhshov, A. V. Tsiganov

St.-Petersburg State University
References:
Abstract: New variables of separation for few integrable systems on the two-dimensional sphere with higher order integrals of motion are considered in detail.We explicitly describe canonical transformations of initial physical variables to the variables of separation and vice versa, calculate the corresponding quadratures and discuss some possible integrable deformations of initial systems.
Keywords: integrable systems; separation of variables; Abel equations.
Received: 14.03.2011
Revised: 27.03.2011
Document Type: Article
UDC: 532.5
MSC: 70H20; 70H06; 37K10
Language: Russian
Citation: V. A. Khudobakhshov, A. V. Tsiganov, “Integrable systems on the sphere associated with genus three algebraic curves”, Nelin. Dinam., 7:1 (2011), 53–74
Citation in format AMSBIB
\Bibitem{KhuTsi11}
\by V.~A.~Khudobakhshov, A.~V.~Tsiganov
\paper Integrable systems on the sphere associated with genus three algebraic curves
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 1
\pages 53--74
\mathnet{http://mi.mathnet.ru/nd208}
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