Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory
Exactly Solvable and Integrable Systems
2010-06-03 v1 Mathematical Physics
math.MP
Abstract
The algebraic structure and the spectral properties of a special class of multi-component NLS equations, related to the symmetric spaces of {\bf 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 . Special attention is paid to the structure of the dressing factors in spinor representation of the orthogonal simple Lie algebras of type.
Cite
@article{arxiv.1006.0301,
title = {Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory},
author = {Vladimir S. Gerdjikov and Georgi G. Grahovski},
journal= {arXiv preprint arXiv:1006.0301},
year = {2010}
}