KUWAIT JOURNAL OF SCIENCE & ENGINEERING, vol.39, pp.19-41, 2012 (SCI-Expanded)
A method of determination of a developable ruled surface is given by Kose. In this paper, first we have obtained the parametric equations of dual hyperbolic and Lorentzian unit spheres (DHUS) H-0(2+) and (DLUS) S-1(2) and then presented a method of determination of a developable time-like ruled surface. We have given an application about two-component Wadati-Konno-Ichikawa (WKI) equation. Inextensible flows of developable surfaces are given. In the final part of this paper, we have discussed inextensible flows of a developable time-like ruled surface.