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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 038, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.038 (Mi sigma66) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Generalized Maxwell–Bloch Equations

Pavle Saksida

Department of Mathematics, Faculty of Mathematics and Physics, University of Ljubljana, Slovenia
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DOI: https://doi.org/10.3842/SIGMA.2006.038
URL: https://emis.mi.ras.ru/journals/SIGMA/2006/Paper038
Abstract: A new Hamiltonian structure of the Maxwell–Bloch equations is described. In this setting the Maxwell–Bloch equations appear as a member of a family of generalized Maxwell–Bloch systems. The family is parameterized by compact semi-simple Lie groups, the original Maxwell–Bloch system being the member corresponding to $SU(2)$. The Hamiltonian structure is then used in the construction of a new family of symmetries and the associated conserved quantities of the Maxwell–Bloch equations.
Keywords: Maxwell–Bloch equations; Hamiltonian structures; symmetries; conserved quantities.
Received: December 1, 2005; in final form March 5, 2006; Published online March 27, 2006
Bibliographic databases:
Document Type: Article
MSC: 37K05; 35Q60; 37K30; 35Q58; 53D20
Language: English
Citation: Pavle Saksida, “On the Generalized Maxwell–Bloch Equations”, SIGMA, 2 (2006), 038, 14 pp.
Citation in format AMSBIB
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