Soliton-like structures in two spatial dimensions and their properties (Q1387189)

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.