Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 251-258.

• Articles • Previous Articles     Next Articles

Gauge Transformation Between the Isospectral and First-Order Nonisospectral Kaup-Newell Hierarchies

 XUE Yu-Shan   

  1. School of Statistics and Mathematics, Central University of Finance and Economics, Beijing 100081
  • Received:2012-08-20 Revised:2013-12-24 Online:2014-04-25 Published:2014-04-25

Abstract:

In this paper, the gauge transformation between the isospectral and first-order nonisospectral Kaup-Newell (KN) spectral problems is derived by introducing the isospectral and first-order nonisospectral Ablowitz-Kaup-Newell-Segur system. Besides, the equivalence relation between the isospectral and first-order nonisospectral KN hierarchies is given.

Key words: Kaup-Newell system, Gauge transformation, Isospectral KN hierarchies, Nonisospectral hierarchies

CLC Number: 

  • 34A34
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