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Discrete Lax pairs and hierarchies of integrable difference systems by Kassotakis, Pavlos is a scholarly article available to read on EtoBox.

What is Discrete Lax pairs and hierarchies of integrable difference systems about?

We introduce a family of order $N\in \mathbb{N}$ Lax matrices that is indexed by the natural number $k\in \{1,\ldots,N-1\}.$ For each value of $k$ they serve as strong Lax matrices of a hierarchy of integrable difference systems in edge variables that in turn lead to hierarchies of integrable difference systems in vertex variables or in a combination of edge and vertex variables. Furthermore, the entries of the Lax matrices are considered as elements of a division ring, so we obtain hierarchies of discrete integrable systems extended in the non-commutative domain.

Author

Kassotakis, Pavlos

Published

2021

Language

EN