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Regular and Chaotic Dynamics, 2014, Volume 19, Issue 5, Pages 548–555
DOI: https://doi.org/10.1134/S1560354714050037 (Mi rcd181) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Symmetries of the Maxwell–Bloch Equations with the Rotating Wave Approximation

Ioan Caşu

Departamentul de Matematică, Universitatea de Vest din Timişoara, Bd. V. Pârvan, Nr. 4, 300223 Timişoara, România
Citations (5)
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DOI: https://doi.org/10.1134/S1560354714050037
Abstract: In this paper a symplectic realization for the Maxwell–Bloch equations with the rotating wave approximation is given, which also leads to a Lagrangian formulation. We show how Lie point symmetries generate a third constant of motion for the dynamical system considered.
Keywords: Maxwell–Bloch equations, symmetries, Hamiltonian dynamics, Lagrangian dynamics.
Funding agency
This work was supported by a grant of the Romanian National Authority for Scientific Research, CNCS–UEFISCDI, project number PN-II-RU-TE-2011-3-0006.
Received: 23.02.2014
Accepted: 22.04.2014
Bibliographic databases:
Document Type: Article
MSC: 70H03, 70H05, 70H33, 70G65
Language: English
Citation: Ioan Caşu, “Symmetries of the Maxwell–Bloch Equations with the Rotating Wave Approximation”, Regul. Chaotic Dyn., 19:5 (2014), 548–555
Citation in format AMSBIB
\Bibitem{Cas14}
\by Ioan~Ca{\c s}u
\paper Symmetries of the Maxwell–Bloch Equations with the Rotating Wave Approximation
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 5
\pages 548--555
\mathnet{http://mi.mathnet.ru/rcd181}
\crossref{https://doi.org/10.1134/S1560354714050037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3266826}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000343081300003}
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  • https://www.mathnet.ru/eng/rcd/v19/i5/p548
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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