On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations

Fuente: arXiv
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Autori principali: Euler, Marianna, Euler, Norbert
Natura: Preprint
Pubblicazione: 2024
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author Euler, Marianna
Euler, Norbert
author_facet Euler, Marianna
Euler, Norbert
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_07425
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
Euler, Marianna
Euler, Norbert
Exactly Solvable and Integrable Systems
Mathematical Physics
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.
title On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
topic Exactly Solvable and Integrable Systems
Mathematical Physics
url https://arxiv.org/abs/2406.07425