Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction

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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.
16 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/229360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0556
 http://arxiv.org/abs/0810.0556

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arXiv