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...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2010 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146305 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory / V.S. Gerdjikov, G.G. Grahovski // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 50 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862627823980642304 |
|---|---|
| author | Gerdjikov, V.S. Grahovski, G.G. |
| author_facet | Gerdjikov, V.S. Grahovski, G.G. |
| citation_txt | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory / V.S. Gerdjikov, G.G. Grahovski // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 50 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 Br ≅ so(2r+1,C) type.
|
| first_indexed | 2025-12-07T13:39:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146305 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:39:49Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gerdjikov, V.S. Grahovski, G.G. 2019-02-08T20:08:47Z 2019-02-08T20:08:47Z 2010 Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory / V.S. Gerdjikov, G.G. Grahovski // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 50 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K20; 35Q51; 74J30; 78A60 DOI:10.3842/SIGMA.2010.044 https://nasplib.isofts.kiev.ua/handle/123456789/146305 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 Br ≅ so(2r+1,C) type. This paper is a contribution to the Proceedings of the Eighth International Conference “Symmetry in Nonlinear Mathematical Physics” (June 21–27, 2009, Kyiv, Ukraine). The full collection is available at http://www.emis.de/journals/SIGMA/symmetry2009.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory Article published earlier |
| spellingShingle | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory Gerdjikov, V.S. Grahovski, G.G. |
| title | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory |
| title_full | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory |
| title_fullStr | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory |
| title_full_unstemmed | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory |
| title_short | Multi-Component NLS Models on Symmetric Spaces: Spectral Properties versus Representations Theory |
| title_sort | multi-component nls models on symmetric spaces: spectral properties versus representations theory |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146305 |
| work_keys_str_mv | AT gerdjikovvs multicomponentnlsmodelsonsymmetricspacesspectralpropertiesversusrepresentationstheory AT grahovskigg multicomponentnlsmodelsonsymmetricspacesspectralpropertiesversusrepresentationstheory |