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Zapiski Nauchnykh Seminarov POMI, 1992, Volume 199, Pages 71–80 (Mi znsl5080)  
This article is cited in 3 scientific papers (total in 3 papers)

Exact solutions of nonlinear sigma-model in curved space and the theory of media with variable saturation magnetization

E. Sh. Gutshabash, V. D. Lipovsky
Full-text PDF (451 kB) Citations (3)
Abstract: The stationary solitons in two-dimensional media with variable saturation magnetization being the harmonic function of coordinates are found. It is shown that Landau–Lifshitz equation in this case can be reduced to integrable $O(3)$ sigma-model in curved space. Some properties of solutions being obtained are discussed.
English version:
Journal of Mathematical Sciences, 1995, Volume 77, Issue 2, Pages 3063–3068
DOI: https://doi.org/10.1007/BF02367233
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, V. D. Lipovsky, “Exact solutions of nonlinear sigma-model in curved space and the theory of media with variable saturation magnetization”, Questions of quantum field theory and statistical physics. Part 11, Zap. Nauchn. Sem. POMI, 199, Nauka, St. Petersburg, 1992, 71–80; J. Math. Sci., 77:2 (1995), 3063–3068
Citation in format AMSBIB
\Bibitem{GutLip92}
\by E.~Sh.~Gutshabash, V.~D.~Lipovsky
\paper Exact solutions of nonlinear sigma-model in curved space and the theory of media with variable saturation magnetization
\inbook Questions of quantum field theory and statistical physics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 1992
\vol 199
\pages 71--80
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5080}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1168673}
\zmath{https://zbmath.org/?q=an:0931.35137}
\transl
\jour J. Math. Sci.
\yr 1995
\vol 77
\issue 2
\pages 3063--3068
\crossref{https://doi.org/10.1007/BF02367233}
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  • https://www.mathnet.ru/eng/znsl/v199/p71
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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