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

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

2010-09-09

arxiv.org/abs/1009.1729v1

Nonlinear Analysis: Theory, Methods & Applications, Volume 73, Issue 9, 1 November 2010, Pages 3004-3017

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages

Scientific paper

10.1016/j.na.2010.06.067

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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