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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 187, Number 1, Pages 21–38
DOI: https://doi.org/10.4213/tmf8985 (Mi tmf8985) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic behavior of dispersive waves in a spiral structure at large times

V. V. Kiselev

Mikheev Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia
Full-text PDF (542 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8985
Abstract: In the framework of the sine-Gordon integrable model for spiral magnetic structures, we investigate the behavior at large times of a weakly nonlinear dispersive wave field generated by a spatially local initial excitation of the structure. The method used is based on a direct asymptotic analysis of the corresponding matrix of the Riemann problem on the torus.
Keywords: spiral structure, sine-Gordon equation, asymptotic behavior, dispersive wave.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 01201463332
This research was performed in the framework of the state assignment of FASO Russia (topic: Quantum, No. 01201463332).
Received: 05.06.2015
English version:
Theoretical and Mathematical Physics, 2016, Volume 187, Issue 1, Pages 463–478
DOI: https://doi.org/10.1134/S0040577916040036
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr
MSC: 30Fxx,74J30
Language: Russian
Citation: V. V. Kiselev, “Asymptotic behavior of dispersive waves in a spiral structure at large times”, TMF, 187:1 (2016), 21–38; Theoret. and Math. Phys., 187:1 (2016), 463–478
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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