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.

16 pages

References in corpus (2)

• A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
• On the dressing method for Dunajski anti-self-duality equation

Cited by in corpus (1)

• Hodograph solutions for the generalized dKP equation