Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

Vladimir Gerdjikov; Georgi Grahovski

doi:10.21427/hke1-rm28

Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

Vladimir Gerdjikov, Georgi Grahovski

Technological University Dublin

Research output: Contribution to journal › Article › peer-review

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 associated Lax operator to these nonlinear evolutionary equations for different fundamental representations of the underlying simple Lie algebra g. Special attention is paid to the spinor representation of the orthogonal Lie algebras of B type.

Original language	English
Journal	SIGMA
Volume	6
DOIs	https://doi.org/10.21427/hke1-rm28
Publication status	Published - 1 Jan 2010

Keywords

algebraic structure
spectral properties
multicomponent NLS equations
symmetric spaces
BD.I-type
spectral theory
Lax operator
nonlinear evolutionary equations
fundamental representations
simple Lie algebra
spinor representation
orthogonal Lie algebras
B type

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10.21427/hke1-rm28Licence: CC BY-NC-SA

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title = "Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory",

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 associated Lax operator to these nonlinear evolutionary equations for different fundamental representations of the underlying simple Lie algebra g. Special attention is paid to the spinor representation of the orthogonal Lie algebras of B type.",

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AU - Gerdjikov, Vladimir

AU - Grahovski, Georgi

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N2 - 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 associated Lax operator to these nonlinear evolutionary equations for different fundamental representations of the underlying simple Lie algebra g. Special attention is paid to the spinor representation of the orthogonal Lie algebras of B type.

AB - 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 associated Lax operator to these nonlinear evolutionary equations for different fundamental representations of the underlying simple Lie algebra g. Special attention is paid to the spinor representation of the orthogonal Lie algebras of B type.

KW - algebraic structure

KW - spectral properties

KW - multicomponent NLS equations

KW - symmetric spaces

KW - BD.I-type

KW - spectral theory

KW - Lax operator

KW - nonlinear evolutionary equations

KW - fundamental representations

KW - simple Lie algebra

KW - spinor representation

KW - orthogonal Lie algebras

KW - B type

U2 - 10.21427/hke1-rm28

DO - 10.21427/hke1-rm28

M3 - Article

VL - 6

JO - SIGMA

JF - SIGMA

ER -

Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory

Abstract

Keywords

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