A Lie algebra containing four parameters for the generalized Dirac hierarchy
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摘要
A Lie algebra containing four parameters is obtained, whose commutation operation is concise, and the corresponding computing formula of constant γ in the variational identity is presented in this paper. As application, a new Liouville integrable hierarchy which can be reduced to Dirac hierarchy is derived by designing a special isospectral problem. We call it generalized Dirac hierarchy.
论文关键词:Loop algebra,Variational identity,Generalized Dirac hierarchy
论文评审过程:Available online 13 May 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.05.016