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Difference systems in bond and face variables and non-potential versions of discrete integrable systems

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dc.abstract.enIntegrable discrete scalar equations defined on a 2D or 3D lattice can be rewritten as difference systems in bond variables or in face variables, respectively. Both the difference systems in bond variables and the difference systems in face variables can be regarded as vector versions of the original equations. As a result, we link some of the discrete equations by difference substitutions and reveal the non-potential versions of some consistent-around-the-cube equations. We obtain higher-point configurations, including pairs of compatible six point equations on the ##IMG## [http://ej.iop.org/images/1751-8121/51/38/385203/aaad4c4ieqn001.gif] lattice together with associated seven point equations. Also we obtain a variety of compatible ten point equations together with associated ten and twelve point equations on the ##IMG## [http://ej.iop.org/images/1751-8121/51/38/385203/aaad4c4ieqn002.gif] lattice. Finally, we present integrable multiquadratic quad relations.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorNieszporski, Maciej
dc.contributor.authorKassotakis, Pavlos
dc.date.accessioned2024-01-24T21:48:51Z
dc.date.available2024-01-24T21:48:51Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.identifier.doi10.1088/1751-8121/AAD4C4
dc.identifier.issn1751-8113
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/104858
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleDifference systems in bond and face variables and non-potential versions of discrete integrable systems
dc.typeJournalArticle
dspace.entity.typePublication