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International Journal of Theoretical Physics

, Volume 47, Issue 7, pp 1994–2001 | Cite as

New Matrix Lie Algebra and Its Application

  • Ling Li
  • Huanhe Dong
Article

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.

Keywords

Matrix Lie algebra Liouville integrable system Hamiltonian structure Integrable couplings 

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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.College of Information Science and EngineeringShandong University of Science and TechnologyQingdaoChina

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