A Lie algebra containing four parameters for the generalized Dirac hierarchy

作者：Dong Huan He^*; Wang Xin Zeng

来源：Applied Mathematics and Computation, 2009, 215(2): 459-463.

DOI：10.1016/j.amc.2009.05.016

• Loop algebra
• Variational identity
• Generalized Dirac hierarchy

A Lie algebra containing four parameters is obtained, whose commutation operation is concise, and the corresponding computing formula of constant c 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.

• 出版日期2009-9-15
• 单位山东科技大学