Statics and dynamics of abrikosov vortices and of related solitons

Using an expansion technique, solitons close together are studied in different field theoretical models. The static vortex solutions of the Ginzburg-Landau theory are given as expansions up to third order in the separation parameters, in the case of two vortices close together. We find a simple angular dependence in terms of trigonometric functions and study the radial functions which occur up to third order. These results are compared to those of a model for one complex field. How the expansions can be used to describe the dynamics with the help of the slow-motion approximation is explained using the example of the CP2 solitons.