  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.
