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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 2, Pages 268–292
DOI: https://doi.org/10.4213/tmf8315 (Mi tmf8315) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Nonlinear dynamics of a quasi-one-dimensional helicoidal structure

V. V. Kiselev, A. A. Raskovalov

Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia
Full-text PDF (535 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf8315
Abstract: We analytically describe solitons and spin waves in the helicoidal structure of magnets without an inversion center using the “dressing” method in the framework of the sine-Gordon model. Analyzing the nonlinear dynamics of spin waves in the helicoidal-structure background reduces to solving linear integral equations on a Riemann surface generated by the superstructure. We obtain spectral expansions of integrals of motion with the soliton and spin-wave contributions separated.
Keywords: helicoidal structure, sine-Gordon equation, Riemann problem, kink, breather.
Received: 15.11.2011
Revised: 11.03.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 2, Pages 1565–1586
DOI: https://doi.org/10.1007/s11232-012-0133-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Kiselev, A. A. Raskovalov, “Nonlinear dynamics of a quasi-one-dimensional helicoidal structure”, TMF, 173:2 (2012), 268–292; Theoret. and Math. Phys., 173:2 (2012), 1565–1586
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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