Geodesic
Landau--Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 163-219

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Using the inverse scattering method, we study the XXZ Landau–Lifshitz equation well-known in the theory of ferromagnetism. We construct all elementary soliton-type excitations and study their interaction. We also obtain finite-gap solutions (in terms of theta functions) and select the real solutions among them.
Mots-clés : multisoliton solution, ferromagnetism
Keywords: finite-gap integration, theta function. 
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     author = {R. F. Bikbaev and A. I. Bobenko and A. R. Its},
     title = {Landau--Lifshitz equation, uniaxial anisotropy case: {Theory} of exact solutions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {178},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a0/}
}
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R. F. Bikbaev; A. I. Bobenko; A. R. Its. Landau--Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 178 (2014) no. 2, pp. 163-219. http://geodesic.mathdoc.fr/item/TMF_2014_178_2_a0/