Classification of discrete systems on a square lattice

Hernández Heredero, Rafael and Levi, Decio and Scimiterna, Christian (2012). Classification of discrete systems on a square lattice. "Theoretical And Mathematical Physics", v. 172 (n. 2); pp. 1097-1108. ISSN 0040-5779.

Description

Title: Classification of discrete systems on a square lattice
Author/s:
  • Hernández Heredero, Rafael
  • Levi, Decio
  • Scimiterna, Christian
Item Type: Article
Título de Revista/Publicación: Theoretical And Mathematical Physics
Date: August 2012
ISSN: 0040-5779
Volume: 172
Subjects:
Freetext Keywords: multiscale expansion, difference equation, integrable model, linearizable model
Faculty: E.U.I.T. Telecomunicación (UPM)
Department: Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We consider the classification up to a Möbius transformation of real linearizable and integrable partial difference equations with dispersion defined on a square lattice by the multiscale reduction around their harmonic solution. We show that the A1, A2, and A3 linearizability and integrability conditions constrain the number of parameters in the equation, but these conditions are insufficient for a complete characterization of the subclass of multilinear equations on a square lattice.

More information

Item ID: 15798
DC Identifier: http://oa.upm.es/15798/
OAI Identifier: oai:oa.upm.es:15798
Official URL: http://link.springer.com/article/10.1007/s11232-012-0098-2
Deposited by: Memoria Investigacion
Deposited on: 04 Oct 2013 18:15
Last Modified: 21 Apr 2016 16:05
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