Families of Integrable Equations

Pavlos Kassotakis ; Maciej Nieszporski

Symmetry, integrability and geometry: methods and applications, Tome 7 (2011)

Résumé

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.

Détail

Keywords: integrable lattice equations, Yang–Baxter maps, consistency around the cube.

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