Families of Integrable Equations
Pavlos Kassotakis, Maciej Nieszporski

TL;DR
This paper introduces a method to generate families of lattice equations, demonstrating that these families, connected through Bäcklund transformations, inherit integrability properties from their integrable members.
Contribution
The authors develop a novel approach to construct families of lattice equations with multiple parameters, highlighting the inheritance of integrability within these families.
Findings
Two families of lattice equations with three parameters each are constructed.
Members of each family are interconnected via Bäcklund transformations.
At least one member of each family is proven to be integrable.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
