Multiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae

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dc.creatorGrinevich, P. G.
dc.creatorKaipa, K. V.
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:53Z
dc.date.available2026-07-07T13:09:53Z
dc.descriptionIn this paper, we introduce the so-called multiscale limit for spectral curves, associated with real finite-gap Sine-Gordon solutions. This technique allows to solve the old problem of calculating the density of topological charge for real finite-gap Sine-Gordon solutions directly from the $θ$-functional formulas.
dc.descriptionAccepted for publication in Volume 266 No. 3, of Proceedings of the Steklov Institute of Mathematics, 10 pages
dc.identifierhttps://arxiv.org/abs/0904.4520
dc.identifierhttp://arxiv.org/abs/0904.4520
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228887
dc.subjectMathematical Physics
dc.titleMultiscale limit for finite-gap Sine-Gordon Solutions and Calculation of Topological Charge using Theta-functional Formulae
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