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A discrete variant of the Landau-Lifshitz equation. (Russian. English summary) Zbl 0601.65065
A lattice version of the Landau-Lifshitz equation in the theory of ferromagnets is considered by means of the inverse scattering problem method. Action-angle variables are constructed and the energy spectrum of the theory is described. The ”dressing up” procedure is used to obtain the simplest soliton solution.

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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