Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction

Details Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction

2008-10-03

arxiv.org/abs/0810.0556v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

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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