Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation
ZHU Jun-Yi, GENG Xian-Guo
Department of Mathematics, Zhengzhou University, Zhengzhou 450052
Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation
ZHU Jun-Yi;GENG Xian-Guo
Department of Mathematics, Zhengzhou University, Zhengzhou 450052
关键词 ：
02.30.Jr ,
02.40.Hw
Abstract ： The surface in R3 associated with the Tzitzeica equation is considered. By curvature coordinate ransformation and surface imbedding, the Gauss--Codazzi equation is presented. Resorting to the solutions of the Gauss--Codazzi equation, the solution of the Tzitzeica equation is obtained under a restrictive condition.
Key words ：
02.30.Jr
02.40.Hw
出版日期: 2006-11-01
:
02.30.Jr
(Partial differential equations)
02.40.Hw
(Classical differential geometry)
引用本文:
ZHU Jun-Yi;GENG Xian-Guo. Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation[J]. 中国物理快报, 2006, 23(11): 2885-2887.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I11/2885
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