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New Matrix Lie Algebra and Its Application

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Abstract

A set of new matrix Lie algebra and its corresponding loop algebra are constructed. By making use of Tu scheme, a Liouville integrable multi-component hierarchy of soliton equation is generated. As its reduction cases, the multi-component Tu hierarchy is given. Finally, the multi-component integrable coupling system of Tu hierarchy is presented through enlarging matrix spectral problem.

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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. New Matrix Lie Algebra and Its Application. Int J Theor Phys 47, 1994–2001 (2008). https://doi.org/10.1007/s10773-007-9643-4

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  • DOI: https://doi.org/10.1007/s10773-007-9643-4

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