Integrable non-commutative equations on quad-graphs. The consistency approach

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dc.creatorBobenko, A. I.
dc.creatorSuris, Yu. B.
dc.date2002-06-10
dc.date.accessioned2026-07-07T08:08:55Z
dc.date.available2026-07-07T08:08:55Z
dc.descriptionWe extend integrable systems on quad-graphs, such as the Hirota equation and the cross-ratio equation, to the non-commutative context, when the fields take values in an arbitrary associative algebra. We demonstrate that the three-dimensional consistency property remains valid in this case. We derive the non-commutative zero curvature representations for these systems, based on the latter property. Quantum systems with their quantum zero curvature representations are particular cases of the general non-commutative ones.
dc.descriptionLaTeX2e, 16 pp
dc.identifierhttps://arxiv.org/abs/nlin/0206010
dc.identifierhttp://arxiv.org/abs/nlin/0206010
dc.identifierLett. Math. Phys., 2002, vol. 61, p. 241-254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131424
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Algebra
dc.titleIntegrable non-commutative equations on quad-graphs. The consistency approach
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