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A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system

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  • Ding, Haiyong
  • Hua, Peng
  • Zhang, Junben
  • Chen, Hongye

Abstract

Two hierarchies of integrable positive and negative nonlinear lattice systems are derived from a discrete iso-spectral problem. When the Lax operators are expanded by virtue of the positive and negative power expansion with respect to the spectral parameter, we get the corresponding integrable hierarchies. Moreover, a direct matrix spectral method is used to get the associated integrable coupling system of the first resulting hierarchy.

Suggested Citation

  • Ding, Haiyong & Hua, Peng & Zhang, Junben & Chen, Hongye, 2009. "A discrete iso-spectral problem with positive and negative hierarchies and integrable coupling system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1497-1503.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1497-1503
    DOI: 10.1016/j.chaos.2007.06.033
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    References listed on IDEAS

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    1. Yang, Hongxiang & Xu, Xixiang & Ding, Haiyong, 2005. "New hierarchies of integrable positive and negative lattice models and Darboux transformation," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1091-1103.
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