Abstract:
By the method of dressing on a torus, we obtain and study solutions of the Landau–Lifshitz equation, which describe solitons in the stripe domain
structure of the easy-axis ferromagnet. A specific feature of these
solitons is that they are directly related to the domain structure{:}
they induce translations and local oscillations of the domains. We find
integrals of motion stabilizing the solitons on the background of the structure.
Keywords:domain structure, Landau–Lifshitz equation, Riemann problem, soliton,
integral of motion.