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  • 标题:A Soliton Hierarchy Associated with a Spectral Problem of 2nd Degree in a Spectral Parameter and Its Bi-Hamiltonian Structure
  • 本地全文:下载
  • 作者:Yuqin Yao ; Shoufeng Shen ; Wen-Xiu Ma
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2016
  • 卷号:2016
  • DOI:10.1155/2016/3589704
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Associated with , a new matrix spectral problem of 2nd degree in a spectral parameter is proposed and its corresponding soliton hierarchy is generated within the zero curvature formulation. Bi-Hamiltonian structures of the presented soliton hierarchy are furnished by using the trace identity, and thus, all presented equations possess infinitely commuting many symmetries and conservation laws, which implies their Liouville integrability.
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