Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space
Nevin Gürbüz, Dae Won Yoon
Abstract
Abstract In this work, we study Hasimoto surfaces for the second and third classes of curve evolution corresponding to a Frenet frame in Minkowski 3-space. Later, we derive two formulas for the differentials of the second and third Hasimoto-like transformations associated with the repulsive-type nonlinear Schrödinger equation.
Topics & Concepts
Minkowski spaceFrenet–Serret formulasMathematicsSpace (punctuation)Frame workMathematical analysisFrame (networking)Pure mathematicsNonlinear systemWork (physics)GeometryCurvatureTheoretical physicsPhysicsQuantum mechanicsPhilosophyComputer scienceTelecommunicationsLinguisticsNonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsAdvanced Differential Geometry Research