Families of Integrable Equations
Exactly Solvable and Integrable Systems
2011-10-31 v3 Mathematical Physics
math.MP
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 B\"acklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.
Keywords
Cite
@article{arxiv.1106.0636,
title = {Families of Integrable Equations},
author = {Pavlos Kassotakis and Maciej Nieszporski},
journal= {arXiv preprint arXiv:1106.0636},
year = {2011}
}