English

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

Exactly Solvable and Integrable Systems 2024-08-14 v2 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.2406.07425,
  title  = {On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations},
  author = {Marianna Euler and Norbert Euler},
  journal= {arXiv preprint arXiv:2406.07425},
  year   = {2024}
}

Comments

12 pages

R2 v1 2026-06-28T17:01:48.690Z