caa a22 4500 469035897 CHVBK 20180323132755.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF01028442 doi (NATIONALLICENCE)springer-10.1007/BF01028442 Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I [Elektronische Daten] [E. Gutshabash, V. Lipovskii] The method of the inverse scattering transform is used to solve a boundary-value problem on the half-plane for the two-dimensional stationary Heisenberg magnet with nontrivial background corresponding to helicoidal magnetic structures. The boundary conditions are formulated in terms of scattering data, and this leads to the appearance of gaps in the continuous spectrum of the auxiliary linear problem. Trace identities are obtained. The asymptotic behavior of some of the simplest solutions of "soliton” type is discussed. Plenum Publishing Corporation, 1992 Gutshabash E. aut Lipovskii V. aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/2(1992-02-01), 175-184 0040-5779 90:2<175 1992 90 11232 https://doi.org/10.1007/BF01028442 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01028442 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gutshabash E. aut NATIONALLICENCE 700 1- Lipovskii V. aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Plenum Publishers 90/2(1992-02-01), 175-184 0040-5779 90:2<175 1992 90 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer