Two explicit realizations of a Lie algebra

Yufeng Zhang*, Hon Wah TAM

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We introduce a Lie algebra whose some properties are discussed, including its proper ideals, derivations and so on. Then, we again give rise to its two explicit realizations by adopting subalgebra of the Lie algebra A2 and a column-vector Lie algebra, respectively. Under the frame of zero curvature equations, we may use the realizations to generate the same Lax integrable hierarchies of evolution equations and their Hamiltonian structure.

Original languageEnglish
Pages (from-to)2241-2245
Number of pages5
JournalChaos, Solitons and Fractals
Volume41
Issue number5
DOIs
Publication statusPublished - 15 Sep 2009

Scopus Subject Areas

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

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