Seed and soliton solutions for Adler's lattice equation

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dc.creatorAtkinson, James
dc.creatorHietarinta, Jarmo
dc.creatorNijhoff, Frank
dc.date2006-09-17
dc.date.accessioned2026-07-07T07:25:32Z
dc.date.available2026-07-07T07:25:32Z
dc.descriptionAdler's lattice equation has acquired the status of a master equation among 2D discrete integrable systems. In this paper we derive what we believe are the first explicit solutions of this equation. In particular it turns out necessary to establish a non-trivial seed solution from which soliton solutions can subsequently be constructed using the Bäcklund transformation. As a corollary we find the corresponding solutions of the Krichever-Novikov equation which is obtained from Adler's equation in a continuum limit.
dc.description9 pages pdf file
dc.identifierhttps://arxiv.org/abs/nlin/0609044
dc.identifierhttp://arxiv.org/abs/nlin/0609044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116751
dc.subjectExactly Solvable and Integrable Systems
dc.titleSeed and soliton solutions for Adler's lattice equation
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