Abstract
In this paper, we introduce the new moving frame {T,u,g} using spherical frame in Minkowski 3-space R13. Later, we obtain three classes of curve evolution connected with the repulsive type nonlinear Schrödinger equation, the modifed nonlinear heat system and the repulsive type modified nonlinear Schrödinger equation according to this new frame in Minkowski 3-space R13. We also give Hasimoto surfaces and three formulas for differentials of Hasimoto-like transformations with respect to the new frame {T,u,g} in R13. Finally, we present the evolution of the electric field, Lorentz force equations and three geometric phases with respect to the new frame {T,u,g} in R13.
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