Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 863-870.

• Articles • Previous Articles    

ON GAUGE EQUIVALENT INTEGRABLE SYSTEMS AND r-MATRICES FOR AKNS HIERARCHY AND A COUPLED MKdV HIERARCHY

LIU Xiang-lin, CHEN Qing-hui, ZHANG Bao-cai   

  1. Department of Mathematics and Physics, Shijiazhuang Railway Institute, Shijiazhuang 050043, P.R.China
  • Received:2002-01-17 Revised:2003-03-10 Online:2003-07-18 Published:2003-07-18

Abstract: The new coupled MKdV hierarchy is obtained. By using gauge transformation, the constrained flow, the integrable system and Lax representation for the coupled MKdV hierarchy were first constructed from the AKNS hierarchy and then using the Lax representation, the r-matrix for the constrained flow of the coupled MKdV hierarchy was constructed. The second set of conserved integrals of this constrained flow and their involutivity were also given.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals