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Transformation of Lax Pair andLax Representation of Constrained Flows

ZHANG Yu-feng1,2, ZHANG Hong-qing1   

  1. 1. Department of Applied Mathematics, Dalian University of Science and Technology, Dalian 116024, China;2. Information School, Shandong University of Science and Technology, Tai'an 271 019, China
  • Received:2001-04-10 Revised:1900-01-01 Online:2002-04-26 Published:2002-04-26
  • Contact: ZHANG Yu-feng

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Abstract: A suitable transformation of Lax pair is made so as to make Lax pair before and after the transformation keep solution equations invariant. Then by means of the method proposed in refenrens ［1~4］ the Lax representation of constrained flows of TD hierarchy and the Hamiltonian structure of the symmetry constrained flows under some constrained condition are obtained.

Key words: transformation of Lax pair, Lax representation, Hamilto nian structure, TD hierarchy

CLC Number: 

  • O175.29
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