International Centre for Theoretical Physics, Trieste, Italy Joint Institute for Nuclear Research, Dubna 141980, Russian Federation

摘要: The classical spin model in planar condensed media is represented as the U (1) Chern-Simons gauge field theory admitting zero curvature connection. In terms of gauge-invariant fields the evolution is described by the Davey-Stewartson (DS) equations. The Self-dual Chern-Simons solitons are subjected to corresponding integrable dynamics. The physical interpretation of Bäcklund transformations in terms of the Chern-Simons gauge theory is given.