Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 941-949.

• Articles • Previous Articles     Next Articles

New Integrable Couplings of Tu Hierarchy with Self-consistent Sources

 XIA Tie-Cheng1, ZHANG Deng-Peng1|TEMUER Chao-Lu2   

  1. 1.Department of Mathematics, Shanghai University, Shanghai 200444;2.Department of Mathematics, Shanghai Maritime University, Shanghai 200135
  • Received:2010-12-21 Revised:2012-05-15 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    国家自然科学基金(61072147, 11071159)、上海市和浙江省自然科学基金(09ZR1410800, Y6100791)和上海市教委重点学科(J50101)资助

Abstract:

A new isospectral problem is firstly presented, then we derive an integrable system of soliton hierarchy. Also we obtain new integrable couplings of Tu soliton equations hierarchy with self-consistent sources associated with loop algebra sl(4).  In this paper, we also point out that there exist some errors in Yu's paper and correct these errors and set up a  new formula. The method can be generalized to other soliton hierarchy with self-consistent sources.

Key words: Tu hierarchy with self-consistent sources, Integrable couplings, Loop algebra

CLC Number: 

  • 35Q51
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