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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 1, Pages 94–113
DOI: https://doi.org/10.4213/tmf6489 (Mi tmf6489) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Interaction of a breather with a magnetization wave in a ferromagnet with light-axis anisotropy

V. V. Kiselev, A. A. Raskovalov

Institute of Physics of Metals, Ural Branch, RAS, Ekaterinburg
Full-text PDF (492 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6489
Abstract: We use the dressing method to find exact solutions of the Landau–Lifshitz equation for a ferromagnet with light-axis anisotropy. These solutions describe the interaction of a nonlinear precession wave of arbitrary amplitude with solitons. We analyze the change of the internal structure and the physical parameters of the solitons as a result of their interaction with the magnetization wave. We find an infinite series of integrals of motion that stabilize the soliton on the background of the pumping wave.
Keywords: breather, domain boundary, nonlinear magnetization wave, Landau–Lifshitz equation, Riemann problem, dressing method.
Received: 01.10.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 1, Pages 479–495
DOI: https://doi.org/10.1007/s11232-010-0037-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kiselev, A. A. Raskovalov, “Interaction of a breather with a magnetization wave in a ferromagnet with light-axis anisotropy”, TMF, 163:1 (2010), 94–113; Theoret. and Math. Phys., 163:1 (2010), 479–495
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6489
  • https://doi.org/10.4213/tmf6489
  • https://www.mathnet.ru/eng/tmf/v163/i1/p94
    • This publication is cited in the following 5 articles:
    1. V. V. Kiselev, A. A. Raskovalov, “Solitons in the domain structure of the ferromagnet”, Theoret. and Math. Phys., 197:1 (2018), 1469–1486  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. F. Sh. Shokirov, “Vzaimodeistvie brizera s domennoi stenkoi v dvumernoi O(3) nelineinoi sigma-modeli”, Kompyuternye issledovaniya i modelirovanie, 9:5 (2017), 773–787  mathnet  crossref
    3. Kiselev V.V. Raskovalov A.A., “Solitons and Nonlinear Waves in the Spiral Magnetic Structures”, Chaos Solitons Fractals, 84 (2016), 88–103  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. V. V. Kiselev, A. A. Raskovalov, “Nonlinear dynamics of a quasi-one-dimensional helicoidal structure”, Theoret. and Math. Phys., 173:2 (2012), 1565–1586  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    5. Ekomasov E.G., Murtazin R.R., Azamatov Sh.A., “Numerical simulation of the generation of magnetic inhomogeneities in ferromagnets with inhomogeneous parameters”, Phys. Solid State, 54:8 (2012), 1584–1590  crossref  adsnasa  isi  elib  scopus
    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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