H. Aratyn ; J. F. Gomes ; G. V. Lobo ; A. H. Zimerman - Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limit

ocnmp:11714 - Open Communications in Nonlinear Mathematical Physics, September 6, 2023, Volume 3 - https://doi.org/10.46298/ocnmp.11714
Derivation of Painlevé type system with $D_4^{(1)}$ affine Weyl group symmetry in a self-similarity limitArticle

Authors: H. Aratyn ; J. F. Gomes ; G. V. Lobo ORCID; A. H. Zimerman

    We show how the zero-curvature equations based on a loop algebra of $D_4$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled Painlevé III models with four canonical variables and $D_4^{(1)}$ affine Weyl group symmetry.

    Comment: 14 pages

    https://doi.org/10.46298/ocnmp.11714
    Source: arXiv.org:2304.10035
    Volume: Volume 3
    Published on: September 6, 2023
    Accepted on: September 1, 2023
    Submitted on: August 9, 2023
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics
    Licence: Attribution 4.0 International (CC BY 4.0)

    Classifications

    Mathematics Subject Classification 20201
    Sources:
    • [1] zbMATH Open.

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