Maciej Blaszak ; Krzysztof Marciniak - Algebraic curves as a source of separable multi-Hamiltonian systems

ocnmp:12861 - Open Communications in Nonlinear Mathematical Physics, March 5, 2024, Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024 - https://doi.org/10.46298/ocnmp.12861
Algebraic curves as a source of separable multi-Hamiltonian systemsArticle

Authors: Maciej Blaszak ; Krzysztof Marciniak

    In this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic curves on the plane. In particular, we consider Stäckel transform between two pairs of Stäckel systems, generated by 2n-parameter algebraic curves on the plane, as well as Miura maps between Stäckel systems generated by (n+N)-parameter algebraic curves, leading to multi-Hamiltonian representation of these systems.


    Volume: Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024
    Published on: March 5, 2024
    Accepted on: February 28, 2024
    Submitted on: January 12, 2024
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems,Mathematical Physics,14H70, 37J35, 70H20

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