Seminar talk, 9 September 2009

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Speaker: Maxim Pavlov

Title: Integrable vector hydrodynamic chains

Abstract:
We introduce a concept "integrable vector hydrodynamic chain." In this talk we consider simplest such a vector chain, with two species of field variables only. This bi-chain is associated with the remarkable Manakov-Santini three-dimensional system.

References:
Maxim V. Pavlov, Jen Hsu Chang, Yu Tung Chen, Integrability of the Manakov-Santini hierarchy, arXiv:0910.2400