RT Journal Article ID 396a17703f433fca A1 Dmitrieva, I.Yu. T1 THE LANDAU-LIFSHITZ EQUATION, ITS TORUS AND COMPLEX PLANE COVERINGS JF Telecommunications and Radio Engineering JO TRE YR 2014 FD 2014-05-08 VO 73 IS 6 SP 489 OP 497 K1 inverse scattering method K1 soliton theory K1 matrix boundary Riemann problem AB The Landau-Lifshitz equation is solved explicitly using inverse scattering method and the homogeneous matrix boundary Riemann problem technique. Spectral parameter of equation varies on a torus in the case of arbitrary kind of covering and complete anisotropy. Algebraic equations with respect to the unknown vector field function are also obtained as for two-, as for four-sheeted covering of a torus and complex plane correspondingly. The latter deals with the most interesting and the unexpected non commutative matrix boundary Riemann problem statement related to the original conditions of the Landau-Lifshitz equation. PB Begell House LK https://www.dl.begellhouse.com/journals/0632a9d54950b268,42c8914804282389,396a17703f433fca.html