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

Author:

Marianna Euler, Norbert Euler

Keyword:

Nonlinear Sciences, Exactly Solvable and Integrable Systems, Exactly Solvable and Integrable Systems (nlin.SI)

journal:

date:

2024-03-08 00:00:00

Abstract

We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in {\it 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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