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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Bibliographic Details
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
Description
Summary: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.
ISSN:1815-0659

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