Soliton relaxation in magnets

Abstract

An equation set describing the evolution of the integrals of motion of solitons, induced by relaxation processes of both a relativistic and exchange nature is obtained within the framework of the phenomenological theory. Two-parameter one-dimensional ferromagnetic and antiferromagnetic solitons and two- and three-dimensional ferromagnetic precession solitons are analyzed. The corresponding integral curves are plotted, and the time dependences of the soliton parameters at various relaxation stages are discussed.