DISSIPATIVE DYNAMICS OF SOLITONS IN PLANAR FERROMAGNETS

Dynamics of magnetic bubbles in planar ferromagnets described by the L andau-Lifshitz equation with dissipation is analyzed. The pure O(3) si gma model has static multisoliton solutions, characterized by a number of parameters. The parameters describe a finite-dimensional manifold. A small perturbation of energy functional with respect to the sigma m odel forces solitons to move, Multisoliton dynamics is effectively red uced to a flow on the parameter space.