Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchiesMarianna Euler, Norbert Eulerhttps://arxiv.org/abs/2506.07780
Nonlocal invariance of the multipotentialisations of the Kupershmidt equation and its higher-order hierarchiesThe term multipotentialisation of evolution equations in $1+1$ dimensions refers to the process of potentialising a given evolution equation, followed by at least one further potentialisation of the resulting potential equation. For certain equations this process can be applied several times to result in a finite chain of potential equations, where each equation in the chain is a potential equation of the previous equation. By a potentialisation of an equation with dependent variable $u$ to an …