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March 8, 20240 citationsOpen Access

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

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MEMarianna EulerNENorbert Euler

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Abstract

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 in Nonlinear Mathematical Physics, vol. 2, 216--228 (2022). In particular, we report all zero-order and higher-order potentialisations for this class of equations using their integrating factors (or multipliers) up to order four. Chains of connecting evolution equations are also obtained by multi-potentialisations.

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Euler et al. (2024) studied this question.

synapsesocial.com/papers/68e752dab6db6435876cb8c4https://doi.org/10.46298/ocnmp.13214
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