Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction
Exactly Solvable and Integrable Systems
2009-05-06 v2
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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Cite
@article{arxiv.0810.0556,
title = {Generalized dKP: Manakov-Santini hierarchy and its waterbag reduction},
author = {L. V. Bogdanov and Jen-Hsu Chang and Yu-Tung Chen},
journal= {arXiv preprint arXiv:0810.0556},
year = {2009}
}
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16 pages