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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 2, Pages 259–272
(Mi tmf5534)
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This article is cited in 7 scientific papers (total in 7 papers)
Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I
E. Sh. Gutshabash, V. D. Lipovskii Scientific-Research Institute of Leningrad State University
Abstract:
The method of the inverse scattering transform is used to solve a boundary-value problem on the half-plane for the twodimensional 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.
Received: 29.04.1991
Citation:
E. Sh. Gutshabash, V. D. Lipovskii, “Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background. I”, TMF, 90:2 (1992), 259–272; Theoret. and Math. Phys., 90:2 (1992), 175–184
Linking options:
https://www.mathnet.ru/eng/tmf5534 https://www.mathnet.ru/eng/tmf/v90/i2/p259
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