Construction of coupled Harry Dym hierarchy and its solutions from St\"ackel systems
classification
🌊 nlin.SI
keywords
ackelhierarchysolutionssystemsconstructcoupledharryclasses
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In this paper we show how to construct the coupled (multicomponent) Harry Dym (cHD) hierarchy from classical St\"ackel 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 St\"ackel systems.
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