A new Lie algebra, a corresponding multi-component integrable hierarchy and an integrable coupling

Yufeng Zhang, Xiurong Guo*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

A new simple loop algebra is constructed, which is devote to establishing an isospectral problem. By making use of Tu scheme, a new multi-component integrable hierarchy is obtained. Again via expanding the loop algebra above, another higher-dimensional loop algebra is presented. It follows that the binary integrable coupling systems are given. This method proposed in this paper can be used to other soliton hierarchies.

Original languageEnglish
Pages (from-to)114-124
Number of pages11
JournalChaos, Solitons and Fractals
Volume29
Issue number1
DOIs
Publication statusPublished - Jul 2006

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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