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.
This research was performed within the State
Assignment of the Federal Agency for Scientific Organizations (Topic
"Kvant," No. 01201463332 (AAAA-A18-118020190095-4)).
Citation:
V. V. Kiselev, A. A. Raskovalov, “Solitons in the domain structure of the ferromagnet”, TMF, 197:1 (2018), 89–107; Theoret. and Math. Phys., 197:1 (2018), 1469–1486