Quasigraded Lie Algebras and Modified Toda Field Equations
作者: Taras V. Skrypnyk
刊名: Symmetry, Integrability and Geometry: Methods and Applications, 2006, Vol.2 , pp.043
来源数据库: Directory of Open Access Journals
关键词: infinite-dimensional Lie algebrassoliton equations
原始语种摘要: We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.
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  • gradation 均夷酌
  • coupled 耦合
  • coincide 相合
  • admit 容许
  • principal 屋架
  • classical 经典的
  • construct 建设
  • scheme 略图
  • matrix 石基
  • field