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    On an integrable system on the plane with velocity-dependent potential

    2016, Vol. 12, No. 3, pp.  355-367

    Author(s): 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
    DOI:10.20537/nd1603005


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