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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.
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Baryakhtar et al. (1997) studied this question.
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