Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations
Exactly Solvable and Integrable Systems
2024-08-07 v3
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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Cite
@article{arxiv.2403.05722,
title = {Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations},
author = {Marianna Euler and Norbert Euler},
journal= {arXiv preprint arXiv:2403.05722},
year = {2024}
}
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34 pages