Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (2): 424-432.

• Articles • Previous Articles     Next Articles

Novel Integrable Decomposition of the Super AKNS Equation

 JI Jie1, YU Jing2, DONG Ya-Juan1   

  1. 1.College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018;
    2.Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018
  • Received:2010-11-28 Revised:2011-10-15 Online:2012-04-25 Published:2012-04-25
  • Supported by:

    国家自然科学基金(10926036, 11026087, 11001069, 61003207)、浙江省教育厅科技项目(Y200906909, Y201017468)和浙江省自然科学基金(Y6090172, Y6100126, Y6100588)资助

Abstract:

In this paper, the approach to construct higher super matrix spectral problems from a 3×3 super matrix spectral problem is presented. As an example, we construct a 5×5 super spectral problem which is associated with the super AKNS equation from the 3×3 super AKNS spectral problem, by  use of the binary nonlinearization method, new constraint of super AKNS equation is obtained. The corresponding  new integrable decomposition of the super AKNS equation is presented also.

Key words: Super spectral problem,  Integrable decomposition, Super AKNS equation

CLC Number: 

  • 37K10
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