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Rogers, C. and Schief, W.K. (2002) Bäcklund and Darboux Transformations. Geometry and Modern Applications in Soliton Theory. Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge.

has been cited by the following article:

• TITLE: Evolution of Generalized Space Curve as a Function of Its Local Geometry

  AUTHORS: Nassar H. Abdel-All, Samah G. Mohamed, Mariam T. Al-Dossary

  KEYWORDS: Inelastic Curve, Curve Flow, Evolution of Curves

  JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 19, 2014

  ABSTRACT: Kinematics of moving generalized curves in a n-dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integrability conditions for the evolutions are given. Finally, applications in R2 are given and plotted.