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most citedOn fully-nonlinear symmetry-integrable equations with rational functions in their highest derivative: Recursion operators

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nlin.SI2024

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

Marianna Euler, Norbert Euler

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 P…

nlin.SI2024

Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations

Marianna Euler, Norbert Euler

We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in the journal Open Communications i…