Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (5): 974-981.

• Articles • Previous Articles     Next Articles

A Real Nonlinear Integrable Coupling for Generalized Toda Soliton Hierarchy

 YU Fa-Jun   

  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034; Institute of Systems Science, AMSS, Chinese Academy of Sciences, Beijing 100080
  • Received:2011-04-10 Revised:2012-02-10 Online:2012-10-25 Published:2012-10-25
  • Supported by:

    辽宁省教育厅高校优秀人才支持计划(LJQ2011119)和中国博士后基金(2011M500404)资助

Abstract:

In this paper, beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. A direct application to the generalized Toda spectral problem leads to a novel nonlinear discrete integrable coupling, which is a real nonlinear integrable coupling.

Key words: Nonlinear integrable coupling system, Discrete soliton hierarchy, Non-semisimple

CLC Number: 

  • 35Q51
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