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Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

Gerdjikov, Vladimir S (2010) 'Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory.' Symmetry, Integrability and Geometry: Methods and Applications, 6. 29-. ISSN 1815-0659

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Abstract

The algebraic structure and the spectral properties of a special class of multicomponent NLS equations, related to the symmetric spaces of BD.I-type are analyzed. The focus of the study is on the spectral theory of the relevant Lax operators for different fundamental representations of the underlying simple Lie algebra g. Special attention is paid to the structure of the dressing factors in spinor representation of the orthogonal simple Lie algebras of Br ≃ so(2r + 1,C) type.

Item Type: Article
Uncontrolled Keywords: multi-component MNLS equations; reduction group; Riemann-Hilbert problem; spectral decompositions; representation theory
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 31 Jan 2015 19:48
Last Modified: 15 Jan 2022 00:39
URI: http://repository.essex.ac.uk/id/eprint/11679

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