Marianna Euler ; Norbert Euler - On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations

ocnmp:13765 - Open Communications in Nonlinear Mathematical Physics, August 8, 2024, Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024 - https://doi.org/10.46298/ocnmp.13765
On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equationsArticle

Authors: Marianna Euler ; Norbert Euler

    We derive the general conditions for fully-nonlinear symmetry-integrable second-order evolution equations and their first-order recursion operators. We then apply the established Propositions to find links between a class of fully-nonlinear third-order symmetry-integrable evolution equations and fully-nonlinear second-order symmetry-integrable evolution equations.

    Comment: 12 pages

    https://doi.org/10.46298/ocnmp.13765
    Source: arXiv.org:2406.07425
    Volume: Proceedings: OCNMP Conference, Bad Ems (Germany), 23-29 June 2024
    Published on: August 8, 2024
    Accepted on: July 29, 2024
    Submitted on: June 12, 2024
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematical Physics
    Licence: Attribution 4.0 International (CC BY 4.0)

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