Journal
PHYSICS LETTERS A
Volume 301, Issue 3-4, Pages 250-262Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0375-9601(02)00957-X
Keywords
integrable system; trace identity; Hamiltonian system; nonlinearization; involutive solution
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A generalized Wadati-Konno-Ichikawa eigenvalue problem is introduced and a hierarchy of infinite-dimensional integrable Hamiltonian equations related to this eigenvalue problem is obtained. The Lax pairs of the associated hierarchy are all nonlinearized into finite-dimensional completely integrable Hamiltonian systems. An involutive representation of solution of each equation in the resulting hierarchy is given. (C) 2002 Elsevier Science B.V. All rights reserved.
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