Monodromy deformation approach to the scaling limit of the Painleve first equation

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dc.creatorKapaev, A. A.
dc.date2001-05-01
dc.date2001-08-01
dc.date.accessioned2026-07-07T05:33:27Z
dc.date.available2026-07-07T05:33:27Z
dc.descriptionThe isomonodromy deformation equation for a 2x2 matrix linear ODE with a large parameter can be locally reduced to a (hyper)elliptic equation. To globalize this result, we apply the isomonodromy deformation method and obtain the modulation equations for the asymptotic algebraic curve. The method is applied to the degenerate solution of the Painleve first equation.
dc.description24 pages, LaTeX; additional references, example and comments are included
dc.identifierhttps://arxiv.org/abs/nlin/0105002
dc.identifierhttp://arxiv.org/abs/nlin/0105002
dc.identifierCRM Proc. Lecture Notes, 32 (2002) 157-179
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80002
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectClassical Analysis and ODEs
dc.titleMonodromy deformation approach to the scaling limit of the Painleve first equation
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