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Bi‐Integrable and Tri‐Integrable Couplings of a Soliton Hierarchy Associated with SO(3)

Author

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  • Jian Zhang
  • Chiping Zhang
  • Yunan Cui

Abstract

Based on the three‐dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi‐integrable and tri‐integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi‐integrable and tri‐integrable couplings are constructed by applying the variational identities.

Suggested Citation

  • Jian Zhang & Chiping Zhang & Yunan Cui, 2017. "Bi‐Integrable and Tri‐Integrable Couplings of a Soliton Hierarchy Associated with SO(3)," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).
    • Handle: RePEc:wly:jnlamp:v:2017:y:2017:i:1:n:9743475
    DOI: 10.1155/2017/9743475
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    References listed on IDEAS

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    1. Zhang, Yufeng & Guo, Fukui, 2007. "Two pairs of Lie algebras and the integrable couplings as well as the Hamiltonian structure of the Yang hierarchy," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 490-495.
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    Cited by:

    1. Wen-Xiu Ma, 2025. "Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions," Mathematics, MDPI, vol. 13(9), pages 1-10, April.

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