On 2nd-order fully-nonlinear equations with links to 3rd-order fully-nonlinear equations
arXiv:2406.07425 · doi:10.46298/ocnmp.13765
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.
12 pages