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Classification of discrete equations linearizable by point transformation on a square lattice |
Christian SCIMITERNA, Decio LEVI( ) |
| Dipartimento di Ingegneria Elettronica, Università degli Studi Roma Tre and INFN Sezione di Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy |
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Abstract 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.
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| Keywords
Partial Difference equation
Linearizable equation
Point transformation
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Corresponding Author(s):
LEVI Decio,Email:levi@roma3.infn.it
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Issue Date: 01 October 2013
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| 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
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Levi D, Scimiterna C. Linearization through symmetries for discrete equations. arXiv: 1302.0154
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Scimiterna C, Levi D. C-Integrability test for discrete equations via multiple scale expansions. SIGMA , 2010, 6: 070
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Scimiterna C, Levi D. Three points partial difference equations linearizable by local and nonlocal transformations. J Phys A: Math Theor , 2013, 46: 025205
doi: 10.1088/1751-8113/46/2/025205
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