Classification of discrete systems on a square lattice
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- 作者：R. Hernández Heredero (1) rafahh@euitt.upm.es
D. Levi (2) levi@roma3.infn.it
C. Scimiterna (2) scimiterna@fis.uniroma3.it - 关键词：multiscale expansion – difference equation – integrable model – linearizable model
- 刊名：Theoretical and Mathematical Physics
- 出版年：2012
- 出版时间：August 2012
- 年：2012
- 卷：172
- 期：2
- 页码：1097-1108
- 全文大小：457.2 KB
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- ISSN：1573-9333
文摘
We consider the classification up to a M?bius 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.