Geodesic
Interaction of domain wall with a~spin wave in the framework of an integrable case of the Landau--Lifshitz equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 153-158

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The inverse scattering method is used to construct solutions of the Landau–Lifshitz equation that describe the interaction of a domain wall with a spin wave. The problem of the collision of a soliton with a domain wall is solved. 
@article{TMF_1985_62_1_a12,
     author = {A. I. Yaremchuk},
     title = {Interaction of domain wall with a~spin wave in the framework of an integrable case of the {Landau--Lifshitz} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {153--158},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a12/}
}
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A. I. Yaremchuk. Interaction of domain wall with a~spin wave in the framework of an integrable case of the Landau--Lifshitz equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 62 (1985) no. 1, pp. 153-158. http://geodesic.mathdoc.fr/item/TMF_1985_62_1_a12/