Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction

2008/10/03 by L. V. Bogdanov, Bogdanov, L. V., Jen-Hsu Chang +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.0810.0556

16 pages

arxiv created 2009/05/06 · arxiv updated 2009/12/01

Abstract

We study Manakov-Santini equation, starting from Lax-Sato form of associated hierarchy. The waterbag reduction for Manakov-Santini hierarchy is introduced. Equations of reduced hierarchy are derived.We construct new coordinates transforming non-hydrodynamic evolution of waterbag reduction to non-homogeneous Riemann invariants form of hydrodynamic type.

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