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.
 Lu, H.Q., Todhunter, J.S. and Sze, T.W. (1993) Congruence Conditions for Nonplanar Developable Surfaces and Their Application to Surface Recognition. CVGIP, Image Understanding, 58, 265-285.
 Unger, D.J. (1991) Developable Surfaces in Elastoplastic Fracture Mechanics. International Journal of Fracture, 50, 33-38. http://dx.doi.org/10.1007/BF00032160
 Kwon, D.Y. and Park, F.C. (1999) Evolution of Inelastic Plane Curves. Applied Mathematics Letters, 12, 115-119.
 Kwon, D.Y., Park, F.C. and Chi, D.P. (2005) Inextensible Flows of Curves and Developable Surfaces. Applied Mathematics Letters, 18, 1156-1162.
 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.
 Goldstein, R.E. and Petrich, D.M. (1991) The Korteweg-de Vries Hierarchy as Dynamics of Closed Curves in the Plane. Physical Review Letters, 67, 3203-3206.
 Nakayama, K., Segur, H. and Wadati, M. (1992) Integrability and the Motion of Curves. Physical Review Letters, 69, 2603-2606. http://dx.doi.org/10.1103/PhysRevLett.69.2603
 Li, Y.Y., Qu, C.Z. and Shu, S. (2010) Integrable Motions of Curves in Projective Geometries. Journal of Geometry and Physics, 60, 972-985.
 Nakayama, K. and Wadati, M. (1993) Motion of Curves in the Plane. Journal of the Physical Society of Japan, 62, 473-479. http://dx.doi.org/10.1143/JPSJ.62.473