The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization

The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization

Year:    2000

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 11–20

Abstract

In this paper, we first search for the Hamiltonian structure of LCZ hierarchy by use of a trace identity. Then we determine a higher-order constraint condition between the potentials and the eigenfunctions of the LCZ spectral prob lem and under this constraint condition, the Lax pairs of LCZ hierarchy are all nonlinearized into the finite-dimensional integrable Hamiltonian systems in Liouville sense.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2000-JPDE-5492

Journal of Partial Differential Equations, Vol. 13 (2000), Iss. 1 : pp. 11–20

Published online:    2000-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    LCZ hierarchy