## 留言板

 引用本文: 黄迅成. 关于高维Liouville方程的Bäcklund变换和解的非线性叠加公式[J]. 应用数学和力学, 1984, 5(6): 801-807.
Huang Xun-cheng. The Backlund Transformation and Nonlinear Superposition Formula of Solutions for the Liouville’s Equation in Higher Dimensions[J]. Applied Mathematics and Mechanics, 1984, 5(6): 801-807.
 Citation: Huang Xun-cheng. The Backlund Transformation and Nonlinear Superposition Formula of Solutions for the Liouville’s Equation in Higher Dimensions[J]. Applied Mathematics and Mechanics, 1984, 5(6): 801-807.

## The Backlund Transformation and Nonlinear Superposition Formula of Solutions for the Liouville’s Equation in Higher Dimensions

• 摘要: 本文指出了由Leibbrandt等人导出的关于三维空间Liouville方程∇2a=expa∇2=∂x2+∂y2+∂z2,的Bäcklund变换可以分解成几个二维空间Liouville方程的Backlund变换的组合 同时,由该变换导出的解的非线性叠加公式实际上是无效的, 从而一些基于这一公式的讨论也不正确.文中还考虑了有关N维空间Liouville方程的一些结果.
•  [1] Solitons 82,Abstracts of Cpaference aced Workshop Talks and.Posters.Edinburgh,England,Aug,(1982). [2] Leibbrandt,G.,S,S,Wang and N,Zamani,Backlund generated solutions of Liouville's equdtion and their graphical representations in three spatial dimensioas,d.Math.Phys.,23,9(1982),1566-1572. [3] Leibbrandt,G.,Nonlinear superposition for Liouville's equation in three spatial dimensions,Left,Math,Phys.,4(1984).317-321.
##### 计量
• 文章访问数:  1940
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• 被引次数: 0
##### 出版历程
• 收稿日期:  1983-04-20
• 刊出日期:  1984-12-15

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