The Geometry of the Inextensible Flows of Timelike Curves according to the Quasi-Frame in Minkowski Space R2,1

The study of the flows curves is one most fascinating research areas in differential geometry. In this paper, we investigate geometry timelike according to quasi-frame Minkowski space R2,1 (In refer these as “quasi-timelike curves”). We evolution quasi-timelike using velocity functions and obtain necessary sufficient conditions for inextensibility. Additionally, explicit forms time equations quasi-orthonormal frames (tangent, quasi-normal, quasi-binormal vectors) curve well their quasi-curvatures. present a new application motion with velocities equal quasi-curvatures curve. application, arise system partial form heat equation, by solving system, visualize addition, acceleration are used inextensible curves, an accelerations given. Through position vector satisfies one-dimensional wave transport equations. solutions graph them Wolfram Mathematica 12.