The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Lax Integrable Differential-Difference Dynamical Systems on Extended Phase Spaces
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| Creator |
Hentosh, O.Ye.
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| 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.
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| Date |
2019-02-09T09:23:32Z
2019-02-09T09:23:32Z 2010 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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