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Volume 13, Issue 1
The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization

Lu Li

J. Part. Diff. Eq., 13 (2000), pp. 11-20.

Published online: 2000-02

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  • 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.
  • Keywords

LCZ hierarchy Hamiltonian structure the higher-order constraint condition Hamiltonian systems

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@Article{JPDE-13-11, author = {Lu Li }, title = {The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5492.html} }
TY - JOUR T1 - The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization AU - Lu Li JO - Journal of Partial Differential Equations VL - 1 SP - 11 EP - 20 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5492.html KW - LCZ hierarchy KW - Hamiltonian structure KW - the higher-order constraint condition KW - Hamiltonian systems AB - 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.
Lu Li . (2000). The Hamiltonian Systems of the LCZ Hierarchy by Nonlinearization. Journal of Partial Differential Equations. 13 (1). 11-20. doi:
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