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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 3, Pages 418–436
DOI: https://doi.org/10.4213/tmf10357 (Mi tmf10357) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Resonanse interaction of breathers in the Manakov system

A. A. Raskovalovabc, A. A. Gelashad

a Skolkovo Institute of Science and Technology, Moscow, Russia
b Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg
c Institute of Physics and Technology, Ural Federal University, Ekaterinburg, Russia
d Institute of Automation and Electrometry, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
Full-text PDF (1556 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf10357
Abstract: By means of the dressing technique we build the multipole solutions of the focusing Manakov system under the constant background. These solutions become degenerated, when the poles of the dressing function are merging. We find out, that at the special choice of integration costants such solutions describe the fusion or decay of the pulsing solitons - breathers - and for their wave numbers and frequencies the typical resonanse condition is valid. We investigate the different cases of such resonanse interactions.
Keywords: Manakov system, solitons, "dressing" technique, resonanse interaction, Kuznetsov soliton.
Funding agency Grant number
Russian Science Foundation 19-72-30028
This work was done in the framework of the Russian Science Foundation project No. 19-72-30028 https://rscf.ru/project/19-72-30028/.
Received: 23.08.2022
Revised: 29.08.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 3, Pages 1669–1685
DOI: https://doi.org/10.1134/S0040577922120029
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr, 05.45.-a
MSC: 35Q51
Language: Russian
Citation: A. A. Raskovalov, A. A. Gelash, “Resonanse interaction of breathers in the Manakov system”, TMF, 213:3 (2022), 418–436; Theoret. and Math. Phys., 213:3 (2022), 1669–1685
Citation in format AMSBIB
\Bibitem{RasGel22}
\by A.~A.~Raskovalov, A.~A.~Gelash
\paper Resonanse interaction of breathers in the~Manakov system
\jour TMF
\yr 2022
\vol 213
\issue 3
\pages 418--436
\mathnet{http://mi.mathnet.ru/tmf10357}
\crossref{https://doi.org/10.4213/tmf10357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538875}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...213.1669R}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 213
\issue 3
\pages 1669--1685
\crossref{https://doi.org/10.1134/S0040577922120029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144891052}
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  • https://doi.org/10.4213/tmf10357
  • https://www.mathnet.ru/eng/tmf/v213/i3/p418
    • This publication is cited in the following 4 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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