Yang-Baxter Maps from the Discrete BKP Equation

TL;DR

This paper constructs rational and piecewise-linear Yang-Baxter maps derived from a general N-reduction of the discrete BKP equation, expanding the understanding of integrable systems.

Contribution

It introduces new Yang-Baxter maps based on the discrete BKP equation's N-reduction, providing novel solutions in integrable systems theory.

Findings

Constructed rational Yang-Baxter maps

Developed piecewise-linear Yang-Baxter maps

Linked Yang-Baxter maps to the discrete BKP equation

Abstract

We construct rational and piecewise-linear Yang-Baxter maps for a general N-reduction of the discrete BKP equation.