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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 178, Number 2, Pages 163–219
DOI: https://doi.org/10.4213/tmf8532 (Mi tmf8532) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Landau–Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions

R. F. Bikbaev, A. I. Bobenkoa, A. R. Itsb

a Institut für Mathematik, Technische Universität Berlin, Berlin, Germany
b Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, Indianapolis, USA
Full-text PDF (1060 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf8532
Abstract: Using the inverse scattering method, we study the XXZ Landau–Lifshitz equation well-known in the theory of ferromagnetism. We construct all elementary soliton-type excitations and study their interaction. We also obtain finite-gap solutions (in terms of theta functions) and select the real solutions among them.
Keywords: multisoliton solution, ferromagnetism, finite-gap integration, theta function.
Received: 07.03.2013
English version:
Theoretical and Mathematical Physics, 2014, Volume 178, Issue 2, Pages 143–193
DOI: https://doi.org/10.1007/s11232-014-0135-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. F. Bikbaev, A. I. Bobenko, A. R. Its, “Landau–Lifshitz equation, uniaxial anisotropy case: Theory of exact solutions”, TMF, 178:2 (2014), 163–219; Theoret. and Math. Phys., 178:2 (2014), 143–193
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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