THE HAMILTONIAN SYSTEMS OF THE LCZ HIERARCHY BY NONLINEARIZATION

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: LCZ hierarchy Hamiltonian structure the higher-order constraint condition Hamiltonian systems.
• 年，卷（期）: 2000,（1）
• 页码范围: 11-20
• 页数: 10页
• 分类号: O175.29
• 语种: 英文

摘要

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 problem, and under this constraint condition, the Lax pairs of LCZ hierarchy are all nonlinearized into the finite-dimensional integrable Hamiltonian systems in Liouville sense.