Nonlinear excitations in magnets with a spiral and stripe domain structure

Abstract: The new analytical solutions of the basis magnetism models (the Landau–Lifshitz and sine-Gordon equations) are found. They describe quasi-one-dimensional solitons on the periodic background, that is, in the stripe domain structure of one- and two-axis ferromagnets and in the spiral structure of magnets without inversion center. The basis investigation method is the “dressing technique” – modification of the inverse scattering problem, based on the Riemann problem of functions of a complex variable. The detailed analysis of the obtained solutions is presented. The possibilities to excite and detect the solitons on the experiments are discussed.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods