Volterra-Bogoyavlensky lattices and solutions of $A_{2n}^{(1)}$ invariant Painlevé equations

Y. F. Adans, H. Aratyn, J. F. Gomes +1

The objective of this work is to develop a framework that exploits the lattice structure of the $k$-th Volterra--Bogoyavlensky equations ($k\in \mathbb{N}$, $k>1$) to generate ration…