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

作     者：Christian SCIMITERNA Decio LEVI 

作者机构：Dipartimento di Ingegneria Elettronica Universita degli Studi Roma Tre and INFN Sezionedi Roma Tre Via della Vasca Navale 84 00146 Roma Italy 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2013年第8卷第5期

页      面：1067-1076页

核心收录：

学科分类：07[理学] 08[工学] 081502[工学-水力学及河流动力学] 0815[工学-水利工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported in part by the Italian Ministry of Education and Research 2010 PRIN "Continuous and discrete nonlinear integrable evolutions: from water waves to symplectic maps" 

主　　题：Partial difference equation linearizable equation point transformation 

摘      要：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 MSbious transformation.