Classification of five-point differential-difference equations II

Classification of five-point differential-difference equations II

Using the generalized symmetry method we finish a classification, started in article (Garifullin et al 2017 J. Phys. A: Math. Theor. 50 125201), of integrable autonomous five-point differential-difference equations. The resulting list, up to autonomous point transformations, contains 14 equations so...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-01, Vol.51 (6), p.65204
Hauptverfasser: Garifullin, R N, Yamilov, R I, Levi, D
Format: Artikel
Sprache:eng
Schlagworte:
classification
generalized symmetry
integrability
non-invertible transformation
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Zusammenfassung:Using the generalized symmetry method we finish a classification, started in article (Garifullin et al 2017 J. Phys. A: Math. Theor. 50 125201), of integrable autonomous five-point differential-difference equations. The resulting list, up to autonomous point transformations, contains 14 equations some of which seem to be new. We have found non-autonomous or non-point transformations relating most of the obtained equations among themselves as well as their generalized symmetries.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aaa14e