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

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

The algebraic structure and the spectral properties of a special class of multi-component 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 underlyi...

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Main Authors: Georgi G. Grahovski, Vladimir S. Gerdjikov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-06-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
multi-component MNLS equations
reduction group
Riemann-Hilbert problem
spectral decompositions
representation theory
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.044
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spelling doaj-36f2c3cb5c9d43f1a4ca93d33e55bab82020-11-24T21:14:49ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592010-06-016044Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations TheoryGeorgi G. GrahovskiVladimir S. GerdjikovThe algebraic structure and the spectral properties of a special class of multi-component 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 B_r simeq so(2r+1,C) type. http://dx.doi.org/10.3842/SIGMA.2010.044multi-component MNLS equationsreduction groupRiemann-Hilbert problemspectral decompositionsrepresentation theory
collection DOAJ
language English
format Article
sources DOAJ
author Georgi G. Grahovski
Vladimir S. Gerdjikov
spellingShingle Georgi G. Grahovski
Vladimir S. Gerdjikov
Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
Symmetry, Integrability and Geometry: Methods and Applications
multi-component MNLS equations
reduction group
Riemann-Hilbert problem
spectral decompositions
representation theory
author_facet Georgi G. Grahovski
Vladimir S. Gerdjikov
author_sort Georgi G. Grahovski
title Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
title_short Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
title_full Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
title_fullStr Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
title_full_unstemmed Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
title_sort multi-component nls models on symmetric spaces: spectral properties versus representations theory
publisher National Academy of Science of Ukraine
series Symmetry, Integrability and Geometry: Methods and Applications
issn 1815-0659
publishDate 2010-06-01
description The algebraic structure and the spectral properties of a special class of multi-component 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 B_r simeq so(2r+1,C) type.
topic multi-component MNLS equations
reduction group
Riemann-Hilbert problem
spectral decompositions
representation theory
url http://dx.doi.org/10.3842/SIGMA.2010.044
work_keys_str_mv AT georgiggrahovski multicomponentnlsmodelsonsymmetricspacesspectralpropertiesversusrepresentationstheory
AT vladimirsgerdjikov multicomponentnlsmodelsonsymmetricspacesspectralpropertiesversusrepresentationstheory
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