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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 2, Pages 259–272 (Mi tmf5534)  
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
Full-text PDF (1469 kB) Citations (7)
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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
English version:
Theoretical and Mathematical Physics, 1992, Volume 90, Issue 2, Pages 175–184
DOI: https://doi.org/10.1007/BF01028442
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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\by E.~Sh.~Gutshabash, V.~D.~Lipovskii
\paper Boundary-value problem for two-dimensional stationary Heisenberg magnet with nontrivial background.~I
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\issue 2
\pages 259--272
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\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 90
\issue 2
\pages 175--184
\crossref{https://doi.org/10.1007/BF01028442}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JT83800010}
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  • https://www.mathnet.ru/eng/tmf/v90/i2/p259
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    This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:65
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