Solitons and wavelets: Scale analysis and bases

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dc.creatorLudu, A.
dc.creatorO'Connell, R. F.
dc.creatorDraayer, J. P.
dc.date2000-08-19
dc.date.accessioned2026-07-07T05:32:58Z
dc.date.available2026-07-07T05:32:58Z
dc.descriptionWe use a one-scale similarity analysis which gives specific relations between the velocity, amplitude and width of localized solutions of nonlinear differential equations, whose exact solutions are generally difficult to obtain. We also introduce kink-antikink compact solutions for the nonlinear-nonlinear dispersion K(2,2) equation, and we construct a basis of scaling functions similar with those used in the multiresolution analysis. These approaches are useful in describing nonlinear structures and patterns, as well as in the derivation of the time evolution of initial data for nonlinear equations with finite wavelength soliton solutions.
dc.description27 pages TevTex, 7 figures .eps
dc.identifierhttps://arxiv.org/abs/nlin/0008026
dc.identifierhttp://arxiv.org/abs/nlin/0008026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79848
dc.subjectPattern Formation and Solitons
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectNuclear Theory
dc.subjectFluid Dynamics
dc.titleSolitons and wavelets: Scale analysis and bases
dc.typetext

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