Signum-Gordon wave equation and its self-similar solutions

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dc.creatorArodź, H.
dc.creatorKlimas, P.
dc.creatorTyranowski, T.
dc.date2007-01-16
dc.date.accessioned2026-07-07T12:35:43Z
dc.date.available2026-07-07T12:35:43Z
dc.descriptionWe investigate self-similar solutions of evolution equation of a (1+1)-dimensional field model with the V-shaped potential $U(ϕ) = | ϕ|,$ where $ϕ$ is a real scalar field. The equation contains a nonlinear term of the form $sign(ϕ)$, and it possesses a scaling symmetry. It turns out that there are several families of the self-similar solutions with qualitatively different behaviour. We also discuss a rather interesting example of evolution with non self-similar initial data - the corresponding solution contains a self-similar component.
dc.description22 pages, 9 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0701148
dc.identifierhttp://arxiv.org/abs/hep-th/0701148
dc.identifierActa Phys.Polon.B38:3099-3118,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217854
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.titleSignum-Gordon wave equation and its self-similar solutions
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