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New integrable lattice hierarchies and associated properties

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  • Li, Zhu
  • Zhang, Ning
  • Dong, Huanhe

Abstract

New positive hierarchy and negative hierarchy of Liouville integrable lattice equation and their Hamiltonian structure are generated by use of Tu model. Then, some properties of the obtained equation hierarchies are discussed.

Suggested Citation

  • Li, Zhu & Zhang, Ning & Dong, Huanhe, 2009. "New integrable lattice hierarchies and associated properties," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1132-1143.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:3:p:1132-1143
    DOI: 10.1016/j.chaos.2007.05.012
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    References listed on IDEAS

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    1. Xia, Tiecheng & Chen, Xiaohong & Chen, Dengyuan, 2005. "Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 889-896.
    2. 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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