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On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
Інший ID:
2000 Mathematics Subject Classification: 37K10; 35Q53
Посилання:
On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems / M.V. Pavlov, Z. Popowicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 7 назв. — англ.
Підтримка:
This paper is a contribution to the Proceedings of the XVIIth International Colloquium on Integrable Systems and Quantum Symmetries (June 19–22, 2008, Prague, Czech Republic). We thank Eugeni Ferapontov, Sergey Tsarev and Sergey Zykov for their stimulating and clarifying discussions. M.V.P. would like to thank the Institute of Theoretical Physics of Wroc law University for the hospitality and the Kasa Mianowski Foundation for the financial support of MVP’s visit to Wroc law making this collaboration possible. MVP is grateful to professor Boris Dubrovin for a hospitality in SISSA in Trieste (Italy) where part of this work has been done. MVP was partially supported by the Russian-Italian Research Project (Consortium E.I.N.S.T.E.IN and RFBR grant 06-01-92053).
Дата:
2009
Переглядів:
365
Завантажень:
209
Анотація:
The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.
