| Solution of Gauss-Codazzi Equation with Applications in the Tzitzeica Equation |
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| 作者姓名： | 朱俊逸 耿献国 |
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| 作者单位： | Department of Mathematics, Zhengzhou University, Zhengzhou 450052 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10471132, and the Special Foundation for the Major State Basic Research Project ＇Nonlinear Science＇ in China. |
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| 摘 要： | The surface in R3 associated with the Tzitzeica equation ＆ 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 ＆ obtained under a restrictive condition.
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| 关 键 词： | Gauss-Codazzi方程 Tzitzeica方程 表面嵌镶 限制条件 |
| 收稿时间： | 2006-05-16 |
| 修稿时间： | 2006-05-16 |
Solution of Gauss-Codazzi Equation with Applications in the Tzitzeica Equation |
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| ZHU Jun-Yi, GENG Xian-Guo.Solution of Gauss-Codazzi Equation with Applications in the Tzitzeica Equation[J].Chinese Physics Letters,2006,23(11):2885-2887. |
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| Authors: | ZHU Jun-Yi GENG Xian-Guo |
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| Affiliation: | Department of Mathematics, Zhengzhou University, Zhengzhou 450052 |
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