Geodesic
Asymptotics at~$t\to\infty$ of the solution of the Cauchy problem for the Landau--Lifshitz equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 3-17

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Explicit expressions that describe the leading term in the asymptotic behavior of the solution of the Cauchy problem for the completely anisotropic Landau–Lifshitz equation in the solitonless sector are obtained. The employed method is based on direct asymptotic analysis of the corresponding matrix Riemann problem on a torus. 
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     author = {R. F. Bikbaev and A. R. Its},
     title = {Asymptotics at~$t\to\infty$ of the solution of the {Cauchy} problem for the {Landau--Lifshitz} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {76},
     number = {1},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a0/}
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R. F. Bikbaev; A. R. Its. Asymptotics at~$t\to\infty$ of the solution of the Cauchy problem for the Landau--Lifshitz equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a0/