Commutator identities on associative algebras and integrability of nonlinear pde's

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dc.creatorPogrebkov, A. K.
dc.date2007-03-11
dc.date.accessioned2026-07-07T11:23:48Z
dc.date.available2026-07-07T11:23:48Z
dc.descriptionIt is shown that commutator identities on associative algebras generate solutions of linearized integrable equations. Next, a special kind of the dressing procedure is suggested that in a special class of integral operators enables to associate to such commutator identity both nonlinear equation and its Lax pair. Thus problem of construction of new integrable pde's reduces to construction of commutator identities on associative algebras.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/nlin/0703018
dc.identifierhttp://arxiv.org/abs/nlin/0703018
dc.identifierTheor.Math.Phys.154:405-417,2008
dc.identifierdoi:10.1007/s11232-008-0035-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195018
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleCommutator identities on associative algebras and integrability of nonlinear pde's
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