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A New Loop Algebra and the Corresponding Computing Formula of Constant γ in the Quadratic-Form Identity, as Well as the Generalized Burgers Hierarchy

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Abstract

A new loop algebra containing four arbitrary constants is presented, and the corresponding computing formula of constant γ in the quadratic-form identity is obtained in this paper, which can be reduced to computing formula of constant γ in the trace identity. As application, a new Liouville integrable hierarchy which possess bi-Hamiltonian structure and generalized Burgers hierarchy are derived.

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Authors and Affiliations

  1. School of Information, Shandong University of Science and Technology, Qingdao, Shandong, 266510, People’s Republic of China

    Huanhe Dong

  2. School of Information Science and Engineering, Shandong Agricultural University, Taian, 271000, People’s Republic of China

    Xuelei Wang

  3. School of Science, Shandong University of Science and Technology, Qingdao, Shandong, 266510, People’s Republic of China

    Ning Zhang

Authors
  1. Huanhe Dong
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  2. Xuelei Wang
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  3. Ning Zhang
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Correspondence to Huanhe Dong.

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Dong, H., Wang, X. & Zhang, N. A New Loop Algebra and the Corresponding Computing Formula of Constant γ in the Quadratic-Form Identity, as Well as the Generalized Burgers Hierarchy. Int J Theor Phys 47, 1817–1827 (2008). https://doi.org/10.1007/s10773-007-9624-7

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  • DOI: https://doi.org/10.1007/s10773-007-9624-7

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