The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
The Hamiltonian representation for the hierarchy of Lax-type flows on a dual space to the Lie algebra of shift operators coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems is found by means of a specially constructed Bäcklund transformation. Th...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146352 |
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| Цитувати: | The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces / O.Ye. Hentosh // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146352 |
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dspace |
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irk-123456789-1463522019-02-10T01:23:22Z The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces Hentosh, O.Ye. The Hamiltonian representation for the hierarchy of Lax-type flows on a dual space to the Lie algebra of shift operators coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems is found by means of a specially constructed Bäcklund transformation. The Hamiltonian description for the corresponding set of squared eigenfunction symmetry hierarchies is represented. The relation of these hierarchies with Lax integrable (2+1)-dimensional differential-difference systems and their triple Lax-type linearizations is analysed. The existence problem of a Hamiltonian representation for the coupled Lax-type hierarchy on a dual space to the central extension of the shift operator Lie algebra is solved also. 2010 Article The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces / O.Ye. Hentosh // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37J05; 37K10; 37K30; 37K35; 37K60 DOI:10.3842/SIGMA.2010.034 http://dspace.nbuv.gov.ua/handle/123456789/146352 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The Hamiltonian representation for the hierarchy of Lax-type flows on a dual space to the Lie algebra of shift operators coupled with suitable eigenfunctions and adjoint eigenfunctions evolutions of associated spectral problems is found by means of a specially constructed Bäcklund transformation. The Hamiltonian description for the corresponding set of squared eigenfunction symmetry hierarchies is represented. The relation of these hierarchies with Lax integrable (2+1)-dimensional differential-difference systems and their triple Lax-type linearizations is analysed. The existence problem of a Hamiltonian representation for the coupled Lax-type hierarchy on a dual space to the central extension of the shift operator Lie algebra is solved also. |
| format |
Article |
| author |
Hentosh, O.Ye. |
| spellingShingle |
Hentosh, O.Ye. The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hentosh, O.Ye. |
| author_sort |
Hentosh, O.Ye. |
| title |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces |
| title_short |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces |
| title_full |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces |
| title_fullStr |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces |
| title_full_unstemmed |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces |
| title_sort |
lax integrable differential-difference dynamical systems on extended phase spaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146352 |
| citation_txt |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces / O.Ye. Hentosh // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 45 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT hentoshoye thelaxintegrabledifferentialdifferencedynamicalsystemsonextendedphasespaces AT hentoshoye laxintegrabledifferentialdifferencedynamicalsystemsonextendedphasespaces |
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2023-05-20T17:24:19Z |
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2023-05-20T17:24:19Z |
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1796153216722796544 |