A completeness study on a class of discrete, 'two by two' Lax pairs

Simple item page
dc.creatorHay, Mike
dc.date2008-06-24
dc.date.accessioned2026-07-07T09:46:26Z
dc.date.available2026-07-07T09:46:26Z
dc.descriptionWe propose a method by which to examine all possible partial difference Lax pairs that consist of 'two by two' discrete linear problems, where the matrices contain one separable term in each entry. We thereby derive new, higher-order versions of the lattice sine-Gordon and lattice modified KdV equations, while showing that there can be no other partial difference equations associated with this type of Lax pair.
dc.description24 pages, 22 (very small) figures
dc.identifierhttps://arxiv.org/abs/0806.3940
dc.identifierhttp://arxiv.org/abs/0806.3940
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163528
dc.subjectExactly Solvable and Integrable Systems
dc.titleA completeness study on a class of discrete, 'two by two' Lax pairs
dc.typetext

Files

Collections

arXiv