Geodesic
Boundary-value problem for the two-dimensional stationary Heisenberg magnet with non-trivial background.~II
Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 513-529

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The investigation of the boundary-value problem on a half-plane for the two-dimensional stationary Heisenberg magnet is continued. The asymptotic behavior of "$N$-soliton" solutions is discussed. The asymptotic contribution of the continuous spectrum is calculated. The gauge equivalence of the boundary-value problems for the models of a magnet and the elliptic equation represented by the sinh-Gordon equation is considered. 
@article{TMF_1995_104_3_a9,
     author = {G. G. Varzugin and E. Sh. Gutshabash and V. D. Lipovskii},
     title = {Boundary-value problem for the two-dimensional stationary {Heisenberg} magnet with non-trivial {background.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {513--529},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a9/}
}
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G. G. Varzugin; E. Sh. Gutshabash; V. D. Lipovskii. Boundary-value problem for the two-dimensional stationary Heisenberg magnet with non-trivial background.~II. Teoretičeskaâ i matematičeskaâ fizika, Tome 104 (1995) no. 3, pp. 513-529. http://geodesic.mathdoc.fr/item/TMF_1995_104_3_a9/