Prolongation Loop Algebras for a Solitonic System of Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Prolongation Loop Algebras for a Solitonic System of Equations
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| Creator |
Agrotis, M.A.
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| Description |
We consider an integrable system of reduced Maxwell-Bloch equations that describes the evolution of an electromagnetic field in a two-level medium that is inhomogeneously broadened. We prove that the relevant Bäcklund transformation preserves the reality of the n-soliton potentials and establish their pole structure with respect to the broadening parameter. The natural phase space of the model is embedded in an infinite dimensional loop algebra. The dynamical equations of the model are associated to an infinite family of higher order Hamiltonian systems that are in involution. We present the Hamiltonian functions and the Poisson brackets between the extended potentials.
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| Date |
2019-02-07T13:27:51Z
2019-02-07T13:27:51Z 2006 |
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| Type |
Article
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| Identifier |
Prolongation Loop Algebras for a Solitonic System of Equations / M.A. Agrotis // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 24 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 37K10; 37N20; 35A30; 35Q60; 78A60 http://dspace.nbuv.gov.ua/handle/123456789/146106 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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