Soliton-like structures in two spatial dimensions and their properties
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.
scientific article; zbMATH DE number 1158214