Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space

[摘要] 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.

[学科分类] 外科医学

[关键词] Hasimoto surface;nonlinear Schrödinger equation;time evolution