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<p>We introduce a kind of infinite-dimensional Lie algebra, it follows that a scheme for generating multi-component discrete integrable hierarchy of soliton equations is proposed. A multi-component discrete quadratic-form identity is presented which could be used to establish Hamiltonian structures of multi-component discrete integrable hierarchies. By considering the application, we obtain a coupled and a multi-component Volterra lattice hierarchies and their Liouville integrable Hamiltonian structures.</p>

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Multi-component discrete integrable hierarchy and its Hamiltonian structure

  • 期刊论文

  • 发表日期：

    2025年8月22日

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  • Haifeng Wang,
  • Zhenzhu Fang,
  • Jian Li,
  • Chuanzhong Li

摘要

We introduce a kind of infinite-dimensional Lie algebra, it follows that a scheme for generating multi-component discrete integrable hierarchy of soliton equations is proposed. A multi-component discrete quadratic-form identity is presented which could be used to establish Hamiltonian structures of multi-component discrete integrable hierarchies. By considering the application, we obtain a coupled and a multi-component Volterra lattice hierarchies and their Liouville integrable Hamiltonian structures.