Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (7): 671-677.

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GENERALIZED STRUCTURE OF LAX REPRESENTATIONS FOR NONLINEAR EVOLUTION EQUATION

Qiao Zhijun   

  1. Institute of Mathematics, Fudan University, Shanghai 200433 and Department of Mathematics, Liaoning University, Shenyang 110036, P. R. China
  • Received:1995-11-17 Revised:1996-10-05 Online:1997-07-18 Published:1997-07-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China

Abstract: A new production form for a hierarchy of nonlinear evolution equations (NLEEs)is given in this paper. The form contains productions of isospectral and non-isospectralhierarchy. Under this form a generalized structure of Lax representations for thehierarchy of NLEEs is this presented. As a concrete example. the Levi-hierarchy ofevolution equations are discussed at the end of this paper.

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