June 11, 2024Open Access

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

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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.

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Euler et al. (Tue,) studied this question.

synapsesocial.com/papers/68e65555b6db6435875e49b2 https://doi.org/https://doi.org/10.46298/ocnmp.13765

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4Symmetries and Invariant Solutions of Higher-Order Evolution Systems2024 · 3 citations
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