Frontiers of Mathematics in China >
Classification of discrete equations linearizable by point transformation on a square lattice
Received date: 31 Oct 2012
Accepted date: 10 Jan 2013
Published date: 01 Oct 2013
Copyright
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 Möbious transformation.
Christian SCIMITERNA , Decio LEVI . Classification of discrete equations linearizable by point transformation on a square lattice[J]. Frontiers of Mathematics in China, 2013 , 8(5) : 1067 -1076 . DOI: 10.1007/s11464-013-0280-3
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