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Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems

Authors:	Krzysztof Marciniak Maciej B?aszak

Institution:	^a Department of Science and Technology, Campus Norrköping, Linköping University, 601-74 Norrköping, Sweden ^b Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

Abstract:	In this paper we show how to construct the coupled (multicomponent) Harry Dym (cHD) hierarchy from classical Stäckel separable systems. Both nonlocal and purely differential parts of hierarchies are obtained. We also construct various classes of solutions of cHD hierarchy from solutions of corresponding Stäckel systems.

Keywords:	Stä ckel separable systems Hamilton-Jacobi theory Hydrodynamic systems Rational solutions Multicomponent Harry Dym hierarchy
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