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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.
Title: | Classification of discrete systems on a square lattice |
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Author/s: |
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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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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.
Item ID: | 15798 |
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DC Identifier: | https://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 |