中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10201-010201.doi: 10.1088/1674-1056/21/1/010201

• GENERAL •    下一篇

Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy

于发军   

  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • 收稿日期:2011-07-10 修回日期:2011-09-08 出版日期:2012-01-15 发布日期:2012-01-20
  • 基金资助:
    Project supported by the Scientific Research Fundation of the Education Department of Liaoning Province, China (Grant No. L2010513) and the China Postdoctoral Science Foundation (Grant No. 2011M500404 ).

Prolongation structure for nonlinear integrable couplings of a KdV soliton hierarchy

Yu Fa-Jun(于发军)†   

  1. School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang 110034, China
  • Received:2011-07-10 Revised:2011-09-08 Online:2012-01-15 Published:2012-01-20
  • Supported by:
    Project supported by the Scientific Research Fundation of the Education Department of Liaoning Province, China (Grant No. L2010513) and the China Postdoctoral Science Foundation (Grant No. 2011M500404 ).

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摘要： In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. From the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation.

关键词: nonlinear integrable coupling system, prolongation structure, KdV soliton hierarchy

Abstract: In this paper, a new nonlinear integrable coupling system of the soliton hierarchy is presented. From the Lax pairs, the coupled KdV equations are constructed successfully. Based on the prolongation method of Wahlquist and Estabrook, we study the prolongation structure of the nonlinear integrable couplings of the KdV equation.

Key words: nonlinear integrable coupling system, prolongation structure, KdV soliton hierarchy

中图分类号:  (Lie algebras of Lie groups)

  • 02.20.Sv
02.30.Ik (Integrable systems) 02.30.Jr (Partial differential equations)