Marianna Euler ; Norbert Euler - On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators

ocnmp:10306 - Open Communications in Nonlinear Mathematical Physics, December 14, 2022, Volume 2 - https://doi.org/10.46298/ocnmp.10306
On fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operatorsArticle

Authors: Marianna Euler ; Norbert Euler

    We report a class of symmetry-intergable third-order evolution equations in 1+1 dimensions under the condition that the equations admit a second-order recursion operator that contains an adjoint symmetry (integrating factor) of order six. The recursion operators are given explicitly.

    https://doi.org/10.46298/ocnmp.10306
    Source: arXiv.org:2211.06937
    Volume: Volume 2
    Published on: December 14, 2022
    Accepted on: December 12, 2022
    Submitted on: November 15, 2022
    Keywords: Nonlinear Sciences - Exactly Solvable and Integrable Systems
    Licence: Attribution 4.0 International (CC BY 4.0)

    Classifications

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

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