Title
Multi–component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
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.
Recommended Citation
Vladimir S. Gerdjikov and Georgi G. Grahovski: Multi-component NLS Models on Symmetric Spaces:Spectral Properties versus Representations Theory, SIGMA, Vol. 6 (2010) article 044 (29 pages).
Included in
Dynamic Systems Commons, Non-linear Dynamics Commons, Partial Differential Equations Commons
Publication Details
SIGMA Vol. 6 (2010) article 044 (29 pages)