Integrable models from PT-symmetric deformations

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dc.creatorAssis, Paulo E. G.
dc.creatorFring, Andreas
dc.date2008-10-20
dc.date.accessioned2026-07-07T13:13:52Z
dc.date.available2026-07-07T13:13:52Z
dc.descriptionWe address the question of whether integrable models allow for PT-symmetric deformations which preserve their intgrability. For this purpose we carry out the Painleve test for PT-symmetric deformations of Burgers and the Korteweg-De Vries equation. We find that the former equation allows for infinitely many deformations which pass the Painleve test. For a specific deformation we prove the convergence of the Painleve expansion and thus establish the Painleve property for these models, which are therefore thought to be integrable. The Korteweg-De Vries equation does not allow for deformations which pass the Painleve test in complete generality, but we are able to construct a defective Painleve expansion.
dc.description14 pages Latex
dc.identifierhttps://arxiv.org/abs/0810.3628
dc.identifierhttp://arxiv.org/abs/0810.3628
dc.identifierJournal of Physics A: Math. Theor. 42 (2009) 105206
dc.identifierdoi:10.1088/1751-8113/42/10/105206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230033
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleIntegrable models from PT-symmetric deformations
dc.typetext

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