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The Application of Discrete Variational Identity on Semi-Direct Sums of Lie Algebras

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Abstract

With non-semisimple Lie algebras, the trace identity was generalized to discrete spectral problems. Then the corresponding discrete variational identity was used to a class of semi-direct sums of Lie algebras in a lattice hierarchy case and obtained Hamiltonian structures for the associated integrable couplings of the lattice hierarchy. It is a powerful tool for exploring Hamiltonian structures of discrete soliton equations.

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Authors and Affiliations

  1. College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao, 266510, China

    Ling Li & Huanhe Dong

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  1. Ling Li
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  2. Huanhe Dong
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Correspondence to Ling Li.

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Li, L., Dong, H. The Application of Discrete Variational Identity on Semi-Direct Sums of Lie Algebras. Int J Theor Phys 48, 1887–1893 (2009). https://doi.org/10.1007/s10773-009-9960-x

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  • DOI: https://doi.org/10.1007/s10773-009-9960-x

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