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

• Articles • Previous Articles     Next Articles

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

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].

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals