English

应用科学学报 ›› 1983, Vol. 1 ›› Issue (4): 369-372.

• 论文 • 上一篇    下一篇

利用可逆Bäcklund变换推导自Bäcklund变换

黄迅成   

  1. 上海计算技术研究所
  • 收稿日期:1982-03-09 出版日期:1983-12-31 发布日期:1983-12-31

DERIVATION OF AUTO-BACKLUND TRäNSFORMATIONS USING INVERTIBLE BäCKLUND TRANSFORMATIONS

HUANG XUNCHENG   

  1. Shanghai Research Institute of Computer Technology
  • Received:1982-03-09 Online:1983-12-31 Published:1983-12-31

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摘要： 文献中寻求演化方程的Bäcklund变换常用的方法有Clairin法(见文[1]所用),Chen法[2]和Hirota[3]法.本文利用联系两个方程的可逆Bäcklund变换(BT)推导其中一个方程的自BT.

Abstract: The ordinary methods for deriving the Backlund transformations of evolution equations are those first studied by Glairin[1], by Chen[2] and by Hirota[3]. In this letter wo show another useful way that can obtain an auto-Backlund transformation, by means of an invertible Backlund transformation.