A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability

• Published in: Condensed Matter Physics
• Date: 2010
• Main Authors: Pavlov, M.V., Prykarpatsky, A.K.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/32119
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A generalized hydrodynamical Gurevich-Zybin equation of Riemann type and its Lax type integrability / M.V. Pavlov, A.K. Prykarpatsky // Condensed Matter Physics. — 2010. — Т. 13, № 4. — С. 43002:1-21. — Бібліогр.: 24 назв. — англ.

This paper is devoted to the study of a hydrodynamical equation of Riemann type, generalizing the remarkable Gurevich–Zybin system. This multi-component non-homogenous hydrodynamic equation is characterized by the only characteristic flow velocity. The compatible bi-Hamiltonian structures and Lax ty...