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

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

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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. 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.

作者朱俊逸耿献国

机构地区 Department of Mathematics

出处《Chinese Physics Letters》 SCIE CAS CSCD 2006年第11期2885-2887,共3页 中国物理快报（英文版）

基金 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.

关键词 INVERSE SCATTERING METHOD DARBOUX TRANSFORMATIONS SURFACES INTEGRABILITY INTEGRATION INVERSE SCATTERING METHOD DARBOUX TRANSFORMATIONS SURFACES INTEGRABILITY INTEGRATION

分类号 O411 [理学—理论物理]

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Chinese Physics Letters

2006年第11期

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

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