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A Liouville integrable system and its bi-Hamiltonian structure

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Listed:
  • Li, Zhu
  • Dong, Huanhe

Abstract

A Liouville integrable system is obtained by the new subalgebra of the loop algebra A∼3, then the Hamiltonian structure of the above system is given by the quadratic-form identity. As a reduction case, Glachette–Johnson (GJ) hierarchy is presented.

Suggested Citation

  • Li, Zhu & Dong, Huanhe, 2008. "A Liouville integrable system and its bi-Hamiltonian structure," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 252-261.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:1:p:252-261
    DOI: 10.1016/j.chaos.2006.08.020
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    References listed on IDEAS

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    1. Fan, Engui, 2001. "A Liouville integrable Hamiltonian system associated with a generalized Kaup–Newell spectral problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 301(1), pages 105-113.
    2. Zhang, Yufeng & Guo, Xiurong & Tam, Honwah, 2006. "A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 114-124.
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