Classification of discrete equations linearizable by point transformation on a square lattice

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• 作者：Christian Scimiterna (1)
  Decio Levi (1)
  
• 关键词：Partial difference equation ; linearizable equation ; point transformation ; 34C20 ; 39A14
• 刊名：Frontiers of Mathematics in China
• 出版年：2013
• 出版时间：October 2013
• 年：2013
• 卷：8
• 期：5
• 页码：1067-1076
• 全文大小：120KB
• 参考文献：1. Levi D, Scimiterna C. Linearizability of nonlinear equations on a quad-graph by a point, two points and generalized Hopf-Cole transformations. SIGMA, 2011, 7: 079
  2. Levi D, Scimiterna C. Linearization through symmetries for discrete equations. arXiv: 1302.0154
  3. Scimiterna C, Levi D. C-Integrability test for discrete equations via multiple scale expansions. SIGMA, 2010, 6: 070
  4. Scimiterna C, Levi D. Three points partial difference equations linearizable by local and nonlocal transformations. J Phys A: Math Theor, 2013, 46: 025205 CrossRef
  
• 作者单位：Christian Scimiterna (1)
  Decio Levi (1)
  
  1. Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and INFN Sezione di Roma Tre, Via della Vasca Navale 84, 00146, Roma, Italy
  

文摘

We provide a complete set of linearizability conditions for nonlinear partial difference equations defined on four points and, using them, we classify all linearizable multilinear partial difference equations defined on four points up to a M?bious transformation.