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A Subalgebra of Loop Alegbra A~2 and a New Integrable bi-Hamiltonian Structure

GONG Xin-bo1, ZHANG Yu-feng2,3   

  1. 1. Teaching Administration, Shandong University of Science and Technology, Taian 271019, China; 2. Institute ofMathematics, School of Information, Shandong University of Science and Technology, Taian 271019, China;3. Institute of Computational Mathematics, Academia Sinica, Beijing 100080, China
  • Received:2002-08-27 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
  • Contact: ZHANG Yu-feng

Abstract: A new isospectral problem is designed by using a subalgebra of loop algebra A~2 established. Then a family of new Liou ville integrable system is obtained by means of Tu scheme, which possesses a bi-Hamiltonian structure.As reduction case, a generalized nonlinear Schrodinger equation is presented.

Key words: Loop algebra, isospectral problem, Hamiltonian structure

CLC Number: 

  • O175.29