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Conservation Laws and Self‐Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three‐by‐Three Discrete Matrix Spectral Problem

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  • Yu-Qing Li
  • Bao-Shu Yin

Abstract

A lattice hierarchy with self‐consistent sources is deduced starting from a three‐by‐three discrete matrix spectral problem. The Hamiltonian structures are constructed for the resulting hierarchy. Liouville integrability of the resulting equations is demonstrated. Moreover, infinitely many conservation laws of the resulting hierarchy are obtained.

Suggested Citation

  • Yu-Qing Li & Bao-Shu Yin, 2014. "Conservation Laws and Self‐Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three‐by‐Three Discrete Matrix Spectral Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:235159
    DOI: 10.1155/2014/235159
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    References listed on IDEAS

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    1. Geng, Xianguo & Du, Dianlou, 2006. "Two hierarchies of new nonlinear evolution equations associated with 3×3 matrix spectral problems," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1165-1172.
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