Alexey Sozonov

    Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
    Saint-Petersburg State University


    Grigoryev Y. A., Sozonov A. P., Tsiganov A. V.
    We discuss an algorithmic construction of the auto Bäcklund transformations of Hamilton–Jacobi equations and possible applications of this algorithm to finding new integrable systems with integrals of motion of higher order in momenta. We explicitly present Bäcklund transformations for two Hamiltonian systems on the plane separable in parabolic and elliptic coordinates.
    Keywords: integrable systems, separation of variables, velocity-dependent potentials
    Citation: Grigoryev Y. A., Sozonov A. P., Tsiganov A. V.,  On an integrable system on the plane with velocity-dependent potential, Rus. J. Nonlin. Dyn., 2016, Vol. 12, No. 3, pp.  355-367
    Khudobakhshov V. A., Sozonov A. P.
    One integrable deformation of the Kowalevski top is studied in framework of the bi-hamiltonian geometry. The main result is the calculation of the variables of separation and of the corresponding quadratures in differential and integral forms.
    Keywords: bi-hamiltonian geometry, separation of variables
    Citation: Khudobakhshov V. A., Sozonov A. P.,  Separation of variables for some generalisation of the Kowalevski top, Rus. J. Nonlin. Dyn., 2013, Vol. 9, No. 2, pp.  247-255

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