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Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (2): 139-143.

• 论文 • 上一篇    下一篇

BÄCKLUND TRANSFORMATIONS FOR THE EQUATION ∂2u/∂x1∂x1+∂2u/∂x2∂x2-f(u)

李沿光   

  1. Department of Mechanics, Peking University Beijing
  • 收稿日期:1987-12-07 出版日期:1989-02-18 发布日期:1989-02-18

BÄCKLUND TRANSFORMATIONS FOR THE EQUATION ∂2u/∂x1∂x1+∂2u/∂x2∂x2-f(u)

Li Yan guang   

  1. Department of Mechanics, Peking University Beijing
  • Received:1987-12-07 Online:1989-02-18 Published:1989-02-18

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摘要： Backlund transformations for the equation ∂2u/∂x1∂x1+∂2u/∂x2∂x2-f(u) is an arbitrary function) is studied in this paper, using the procedure of Wahlquist and Estabrook (WEP). We conclude that the condition is sufficient for the existence of Backlund transformations for the equation of our interest. A special case of our results leads to the conclusion of Leibbrandt[1,2].

Abstract: Backlund transformations for the equation ∂2u/∂x1∂x1+∂2u/∂x2∂x2-f(u) is an arbitrary function) is studied in this paper, using the procedure of Wahlquist and Estabrook (WEP). We conclude that the condition is sufficient for the existence of Backlund transformations for the equation of our interest. A special case of our results leads to the conclusion of Leibbrandt[1,2].

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