Journal of Shanghai University(Natural Science Edition) ›› 2011, Vol. 17 ›› Issue (1): 94-99.doi: 10.3969/j.issn.1007-2861.2011

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Notes on Solutions to Burgers Equation Hierarchies

HU Liu-feng,ZHANG Da-jun   

  1. (College of Sciences, Shanghai University, Shanghai 200444, China)
  • Received:2009-09-18 Online:2011-02-28 Published:2011-02-28

Abstract:

We consider exact solutions for the isospectral and nonisospectral Burgers hierarchies. The two hierarchies can be linearized through the ColeHopf transformation. Solutions are given using the technique for selecting Wronskian entries. Relationship between some solutions and their dynamic characteristics are investigated.

Key words: Burgers equation hierarchies; exact solutions; dynamic characteristics

CLC Number: