Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems
arXiv:1009.1729 · doi:10.1016/j.na.2010.06.067
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.
16 pages
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