Reality problems in the soliton theory

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dc.creatorGrinvich, P. G.
dc.creatorNovikov, S. P.
dc.date2006-09-27
dc.date.accessioned2026-07-07T07:25:34Z
dc.date.available2026-07-07T07:25:34Z
dc.descriptionThis is a survey article dedicated mostly to the theory of real regular "finite-gap" (algebro-geometrical) periodic and quasiperiodic Sine-Gordon solutions. Long period this theory remained unfinished and ineffective, and by that reason practically had no applications. Even for such simple physical quantity as "Topological Charge" no formulas existed expressing it through the "Inverse Spectral Data". Few years ago the present authors solved this problem and made this theory effective. This article contains description of the history and recent achievements. It describes also the reality problems for several other fundamental soliton systems.
dc.descriptionLaTeX, 19 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/nlin/0609063
dc.identifierhttp://arxiv.org/abs/nlin/0609063
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116761
dc.subjectExactly Solvable and Integrable Systems
dc.titleReality problems in the soliton theory
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