Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (5): 507-512.

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Subalgebras of the loop algebra A-1 and integrable Hamiltonian hierarchies of equations

  

  1. (Department of Mathematics, Shandong University of Science and Technology|Taian 271019)

  • Online:1999-12-05 Published:1999-12-05

Abstract:

Choosing a subalgebra of the loog algebra A-1 ,two linear isospectral problems are established and two new integrable Hamiltonian hierarchies of equations are derived. The method shown in this paper is very simple and convenient. It can be used to obtain numerous integrable Hamiltonian hierarchies of equations.

Key words: Integrable system, Loop algegra A-1,Hamiltonian equation.

CLC Number: 

  • 35Q51
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