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Two hierarchies of new nonlinear evolution equations associated with 3×3 matrix spectral problems

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  • Geng, Xianguo
  • Du, Dianlou

Abstract

Two hierarchies of new nonlinear evolution equations associated with 3×3 matrix spectral problems are proposed. The generalized bi-Hamiltonian structures for one of the two hierarchies are derived with the aid of the trace identity. Some explicit solutions of a typical nonlinear evolution equation in the hierarchy are obtained, which include soliton and periodic solutions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:5:p:1165-1172
    DOI: 10.1016/j.chaos.2005.08.086
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