It is shown that all stationary and restricted flows of the Harry-Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry-Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.

RAGNISCO O, & RAUCHWOJCIECHOWSKI S (1994). INTEGRABLE MECHANICAL SYSTEMS RELATED TO THE HARRY-DYM HIERARCHY. JOURNAL OF MATHEMATICAL PHYSICS, 35(2), 834-847 [10.1063/1.530616].

INTEGRABLE MECHANICAL SYSTEMS RELATED TO THE HARRY-DYM HIERARCHY

RAGNISCO, Orlando;
1994

Abstract

It is shown that all stationary and restricted flows of the Harry-Dym hierarchy have a parametrization as a set of Newton equations. They are new classes of integrable mechanical systems. Properties of the Harry-Dym hierarchy are used for deriving systematically spectral-parameter-dependent Lax representations and bi-Hamiltonian formulation for some of these systems. They yield complete sets of integrals in involution which render these systems to be completely integrable.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/138019
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 11
social impact