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Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 044, 29 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.044
(Mi sigma501)
 

This article is cited in 12 scientific papers (total in 12 papers)

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

V. S. Gerdjikova, G. G. Grahovskiab

a Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, Bulgaria
b School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland
References:
Abstract: The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of $\mathbf{BD.I}$-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 $\mathfrak g$. Special attention is paid to the structure of the dressing factors in spinor representation of the orthogonal simple Lie algebras of $\mathbf B_r\simeq so(2r+1,\mathbb C)$ type.
Keywords: multi-component MNLS equations, reduction group, Riemann–Hilbert problem, spectral decompositions, representation theory.
Received: January 20, 2010; in final form May 24, 2010; Published online June 2, 2010
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. S. Gerdjikov, G. G. Grahovski, “Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory”, SIGMA, 6 (2010), 044, 29 pp.
Citation in format AMSBIB
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\by V.~S.~Gerdjikov, G.~G.~Grahovski
\paper Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
\jour SIGMA
\yr 2010
\vol 6
\papernumber 044
\totalpages 29
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  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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