Families of Integrable Equations

Abstract

We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.

Keywords

• integrable lattice equations
• Yang-Baxter maps
• consistency around the cube