Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (3): 320-329.

Previous Articles     Next Articles

Discussion of General Properties of Soliton Solutions of KdV Equation by Using Darboux Transformation

Li Jinping1, Yan Mulin1, Yuan Zhihua2   

  1. 1 Center for Fundamental Physics, University of Science and Technology of China, Hefei, AnHui 230026;
    2 Department of Machinary and Electricity, HeNan Agricultral University, Zhengzhou, HeNan 450002
  • Received:1995-11-13 Revised:1997-07-17 Online:1997-06-26 Published:1997-06-26

Abstract: We point out that, by making use of Darboux trans formation, the analytical form of one-and two-soliton solutions of KdV equation not only can be obtained concisely,but also the properties of any soliton solutions of KdV equation can be discussed easily.Through the detailed discussion of three-soliton solution and the analytical analysis of multisoliton solutions of KdV equation, we obtain some general and interesting conclusions about properties for all soliton solutions of KdV equation. The conclusions would play an important role in the deep understanding of the law for interaction between solitons.

Key words: Darboux transformation, KdV equation, Soliton solutions

Trendmd