BCKLUND TRANSFORMATIONS FOR THE EQUATION~2u/x~1x~1+~2u/x~2x~2=f(u)

• 作 者: 李沿光
• 机 构: DepartmentofMechanics,PekingUniversityBeijing
• 出 处: 应用数学和力学：英文版
• 发表日期: 1989年2期
• 关键词: arbitrary CONCLUSION COORDINATES conclude x~1 x~2=f eliminate SUPPOSE elliptic R

B(?)cklund transformations for the equation a~2u/ax~1ax~1+a~2u/ax~2ax~2=f(u)(here fis an arbitrary function)is studied in this paper,using the procedure of Wahlquist andEstabrook(WEP).We conclude that the condition d~2f/du~2=λf is sufficient for theexiste