Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2008
- DOI:
- 10.48550/arXiv.0810.0556
- arXiv:
- arXiv:0810.0556
- Bibcode:
- 2008arXiv0810.0556B
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 16 pages