Seed and soliton solutions for Adler's lattice equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Adler'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.
9 pages pdf file

Keywords

Exactly Solvable and Integrable Systems

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/116751

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0609044
 http://arxiv.org/abs/nlin/0609044

Collections

arXiv