Computation of Some Geometric Properties for New Nonlinear PDE Models

作     者：Nassar Hassan Abdel-All Mohammed Abdullah Abdullah Hamad Mohammed Abdullah Abdel-Razek Amal Aboelwafa Khalil 

作者机构：不详 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2011年第2卷第6期

页      面：666-675页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Motion of Curve Darboux Transformations Gaussian and Mean Curvatures Symmetry Groups 

摘      要：The purpose of the present work is to construct new geometrical models for motion of plane curve by Darboux transformations. We get nonlinear partial differential equations (PDE). We have obtained the exact solutions of the resulting equations using symmetry groups method. Also, the Gaussian and mean curvatures of Monge form of the soliton surfaces have been calculated and discussed.