On the Generalized Maxwell-Bloch Equations

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dc.contributor.authorSaksida, P.
dc.date.accessioned2019-02-07T20:26:30Z
dc.date.available2019-02-07T20:26:30Z
dc.date.issued2006
dc.description.abstractA 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.uk_UA
dc.description.sponsorshipI would like to thank professors Pavel Winternitz, Gregor Kovacic, and Jirı Patera for interesting and stimulating discussions. The research for this paper was supported in part by the research programme Analysis and Geometry P1-0291, Republic of Slovenia. A part of the research was done at the Centre de Recherches Mathematiques, Montreal, Canada. The hospitality of CRM and especially of professor Jirı Patera is gratefully acknowledged.uk_UA
dc.identifier.citationOn the Generalized Maxwell-Bloch Equations / P. Saksida // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 21 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 37K05; 35Q60; 37K30; 35Q58; 53D20
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146179
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleOn the Generalized Maxwell-Bloch Equationsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2, випуск за цей рік