中国物理B ›› 1999, Vol. 8 ›› Issue (12): 889-894.doi: 10.1088/1004-423X/8/12/002

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NEW B$\ddot{A}$CKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION

闫振亚, 张鸿庆   

  1. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, China
  • 收稿日期:1999-04-08 出版日期:1999-12-15 发布日期:2005-06-29
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant No.19572022).

NEW B?CKLUND TRANSFORMATION AND EXACT SOLUTIONS FOR VARIABLE COEFFICIENT KdV EQUATION

YAN ZHEN-YA (闫振亚), ZHANG HONG-QING (张鸿庆)   

  1. Institute of Mathematical Science, Dalian University of Technology, Dalian 116024, China
  • Received:1999-04-08 Online:1999-12-15 Published:2005-06-29
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant No.19572022).

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摘要： In this paper, with the aid of Lax pairs, a new B?cklund transformation for the variable coefficient KdV equation is found, Based on the B?cklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.

Abstract: In this paper, with the aid of Lax pairs, a new B$\ddot{\rm a}$cklund transformation for the variable coefficient KdV equation is found, Based on the B$\ddot{\rm a}$cklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.

中图分类号:  (General theory of continuum mechanics of solids)

  • 46.05.+b
02.30.Cj (Measure and integration) 02.60.Jh (Numerical differentiation and integration)