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On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems

On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems A hierarchy of Hamiltonian systems obtained from the Lax pair of KdV hierarchy under the constraint condition on potentialu = ⟩q, q⟨ is presented. The independent integrals for these Hamiltonian systems are constructed by using recursion operator and shown to be in involution. Thus this hierarchy of Hamiltonian systems is completely integrable in the sense of Liouville, and they commute with each other. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

On complete integrability of a hierarchy of finite-dimensional Hamiltonian systems

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Publisher
Springer Journals
Copyright
Copyright © 1992 by Science Press
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02014576
Publisher site
See Article on Publisher Site

Abstract

A hierarchy of Hamiltonian systems obtained from the Lax pair of KdV hierarchy under the constraint condition on potentialu = ⟩q, q⟨ is presented. The independent integrals for these Hamiltonian systems are constructed by using recursion operator and shown to be in involution. Thus this hierarchy of Hamiltonian systems is completely integrable in the sense of Liouville, and they commute with each other.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 15, 2005

References