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5. ,Solution of Gauss-Codazzi Equation with Applications in the Tzitzeica Equation

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

来源 :中国物理快报（英文版） | 被引量 : 0次 | 上传用户：ppc

【摘 要】

：

The surface in R3 associated with the Tzitzeica equation is considered. By curvature coordinate transformation and surface imbedding, the Gauss-Codazzi equation

【作 者】

：

ZHU Jun-Yi GENG Xian-Guo 

【机 构】

：

Department of Mathematics, Zhengzhou University, Zhengzhou 450052

【出 处】

：

中国物理快报（英文版）

【发表日期】

：

2006年11期

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论文部分内容阅读

The surface in R3 associated with the Tzitzeica equation is considered. By curvature coordinate transformation 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.

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