Szczegóły publikacji
Opis bibliograficzny
The differential-algebraic analysis of symplectic and Lax structures related with new Riemann-type hydrodynamic systems / Yarema A. Prykarpatsky, Orest D. Artemovych, Maxim V. Pavlov, Anatolij K. PRYKARPATSKI // Reports on Mathematical Physics ; ISSN 0034-4877. — 2013 — vol. 71 no. 3, s. 305–351. — Bibliogr. s. 349–351
Autorzy (4)
- Prykarpatsky Yarema A.
- Artemovych Orest D.
- Pavlov Maxim V.
- AGHPrykarpatsky Anatolij
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 77044 |
|---|---|
| Data dodania do BaDAP | 2013-10-23 |
| Tekst źródłowy | URL |
| DOI | 10.1016/S0034-4877(13)60035-X |
| Rok publikacji | 2013 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Reports on Mathematical Physics |
Abstract
A differential-algebraic approach to studying the Lax-type integrability of the generalized Riemann-type hydrodynamic hierarchy, proposed recently by 0. D. Artemovych, M. V. Pavlov, Z. Popowicz and A. K. Prykarpatski, is developed. In addition to the Lax-type representation, found before by Z. Popowicz, a closely related representation is constructed in exact form by means of a new differential-functional technique. The bi-Hamiltonian integrability and compatible Poisson structures of the generalized Riemann type hierarchy are analyzed by means of the symplectic and gradient-holonomic methods. An application of the devised differential-algebraic approach to other Riemann and Vakhnenko type hydrodynamic systems is presented.