On discrete 2D integrable equations of higher order

We study two-dimensional discrete integrable equations of order 1 with respect to one independent variable and m with respect to another one. A generalization of the multidimensional consistency property is proposed for this type of equations. The examples are related to the Bäcklund-Darboux transformations for the lattice equations of Bogoyavlensky type. © 2014 IOP Publishing Ltd.

Authors
Adler V.E.1 , Postnikov V.V. 2
Journal
Journal of Physics A: Mathematical and Theoretical
Number of issue
4
Language
English
Status
Published
Link
External link
DOI
10.1088/1751-8113/47/4/045206
Number
045206
Volume
47
Year
2014
Organizations
  • 1 L.D. Landau Institute for Theoretical Physics, 1A Ak. Semenov, Chernogolovka 142432, Russian Federation
  • 2 Sochi Branch of Peoples' Friendship University of Russia, 32 Kuibyshev str., 354000 Sochi, Russian Federation
Keywords
3D-consistency; Bäcklund transformation; evolutionary lattice equations
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/4856/
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