H. Aratyn ; J. F. Gomes ; A. H. Zimerman - On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity

ocnmp:10161 - Open Communications in Nonlinear Mathematical Physics, November 10, 2022, Volume 2 - https://doi.org/10.46298/ocnmp.10161
On Hamiltonian Formalism for Dressing Chain Equations of Even PeriodicityArticle

Authors: H. Aratyn ; J. F. Gomes ; A. H. Zimerman

    We propose a Hamiltonian formalism for $N$ periodic dressing chain with the even number $N$. The formalism is based on Dirac reduction applied to the $N+1$ periodic dressing chain with the odd number $N+1$ for which the Hamiltonian formalism is well known. The Hamilton dressing chain equations in the $N$ even case depend explicitly on a pair of conjugated Dirac constraints and are equivalent to $A^{(1)}_{N-1}$ invariant symmetric Painlevé equations.


    Volume: Volume 2
    Published on: November 10, 2022
    Accepted on: November 8, 2022
    Submitted on: October 17, 2022
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems,Mathematical Physics

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