Soliton-like structures in two spatial dimensions and their properties
type: Item
instance of: scholarly article
title: Soliton-like structures in two spatial dimensions and their properties
zbMATH Open document ID: 0899.35088
DOI: 10.1016/S0034-4877(97)85929-0
published in: Reports on Mathematical Physics
publication date: 1998-06-02T00:00:00Z
review text: We review some of our recent work on various properties of extended structures as seen in different simulations performed in \((2+1)\) dimensions. We start by considering static configurations of the, relativistically covariant, so-called \(S^2\) model in \((2+ 1)\) dimensions. These static configurations are then taken as initial configurations of various models in \((2+1)\) dimensions; first of the relativistically covariant \(S^2\) model and its Skyrme extensions. Then we present our recent results on nontopological pseudo-breather solutions and their scattering with skyrmions. We finish with some results in models based on the (nonrelativistic) Landau-Lifshitz equation.
Mathematics Subject Classification ID: 35Q40
Mathematics Subject Classification ID: 82D40
zbMATH DE Number: 1158214
zbMATH Keywords: magnetic bubbles
zbMATH Keywords: \(S^2\) model
zbMATH Keywords: Skyrme extensions
zbMATH Keywords: pseudo-breather solutions
zbMATH Keywords: skyrmions
zbMATH Keywords: Landau-Lifshitz equation
author: B. Piette
author: Wojciech J. Zakrzewski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1158214