Inextensible Flows of Null Cartan Curves in Minkowski Space R2,1

This research focused on studying the flows of a null Cartan curve specified by velocity and acceleration fields. We have proven that tangential normal velocities are influenced binormal along motion. The fields used to drive time evolution equations for frame torsion curve. objective this work is construct family inextensible curves from initial surface formed obtained numerically visualized. In paper, we refer traced out as generated or constructed surface. present novel model curve, which moves with constant describe process constructing curves. Through model, equation arises Korteweg-de Vries (K-dV) equation, obtain visualize soliton solutions. solutions represent at various values. addition, investigate fields, explicit relationships between functions. Finally, provide an application acceleration.