Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation

Chin. Phys. Lett.

2006, Vol. 23

Issue (11): 2885-2887 DOI:

Original Articles

Solution of Gauss--Codazzi Equation with Applications in the Tzitzeica Equation

ZHU Jun-Yi;GENG Xian-Guo

Department of Mathematics, Zhengzhou University, Zhengzhou 450052

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ZHU Jun-Yi, GENG Xian-Guo 2006 Chin. Phys. Lett. 23 2885-2887

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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.

Keywords: 02.30.Jr 02.40.Hw

Published: 01 November 2006

PACS:	02.30.Jr	(Partial differential equations)
	02.40.Hw	(Classical differential geometry)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I11/02885

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