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 
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/
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     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},
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     language = {ru},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Gutshabash E. Sh., Lipovskii V. D., TMF, 90:2 (1992), 259–272 | MR | Zbl

[2] Takhtadzhyan L. A., Faddeev L. D., Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR

[3] Its A. R., DAN SSSR, 261:1 (1981), 14–18 | MR | Zbl

[4] Its A. R., Novokshenov V. Yu., Lecture Notes in Math., 1191, Springer-Verlag, Berlin–Heidelberg, 1986 | DOI | MR | Zbl

[5] Deift P., Zhou X., Ann. of Math., 137:2 (1993), 295–368 | DOI | MR | Zbl

[6] Pohlmeyer K., Commun. Math. Phys., 46:3 (1976), 207–221 | DOI | MR | Zbl

[7] Gutshabash E. Sh., Vestn. LGU, ser. fizika i khimiya, 1990, no. 4, 84–86 | MR | Zbl

[8] Beals R., Coifman R. R., Commun. Pure Appl. Math., 37 (1984), 39–90 | DOI | MR | Zbl

[9] Bobenko A. I., UMN, 46:4 (1991), 3–42 | MR

[10] Movsesyants Yu. B., ZhETF, 91:2 (1986), 493–499

[11] Joyce G., Montgomery D., J. Plasma Phys., 10:1 (1973), 107–121 | DOI

[12] Martina L., Pashaev O., Soliani G., Phys. Rev. B, 48:21 (1993), 87–91 | DOI