Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems

E. H. Saidi; M. B. Sedra

Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems

solv-int 2008-02-03 v1 高能物理 - 理论可精确求解与可积系统

作者: E. H. Saidi , M. B. Sedra

摘要

The $6 = 3\times 2$ huge Lie algebra $\Xi$ of all local and non local differential operators on a circle is applied to the standard Adler-Kostant-Symes (AKS) R-bracket sckeme. It is shown in particular that there exist three additional Lie structures, associated to three graded modified classical Yang-Baxter(GMCYB) equations. As we know from the standard case, these structures can be used to classify in a more consitent way a wide class of integrable systems. Other algebraic properties are also presented.

关键词

yang-baxter equation lie algebras and representations integrable systems

引用

@article{arxiv.solv-int/9708003,
  title  = {Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems},
  author = {E. H. Saidi and M. B. Sedra},
  journal= {arXiv preprint arXiv:solv-int/9708003},
  year   = {2008}
}

备注

22 pages, Revtex

Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems

摘要

关键词

引用

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