A Lie algebra containing four parameters for the generalized Dirac hierarchy |
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Authors: | Huan-He Dong Xin-Zeng Wang |
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Affiliation: | aSchool of Information Science and Engineering, Shandong University of Science and Technology, Qingdao Huangdao 266510, PR China |
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Abstract: | 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. |
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Keywords: | Loop algebra Variational identity Generalized Dirac hierarchy |
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