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

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초록

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 Schrodinger equation.

키워드

Hasimoto surfacenonlinear Schrodinger equationtime evolutionBISHOP FRAMEANHOLONOMYMOTION
제목
Hasimoto surfaces for two classes of curve evolution in Minkowski 3-space
저자
Gurbuz, NevinYoon, Dae Won
DOI
10.1515/dema-2020-0019
발행일
2020-01
유형
Article
저널명
Demonstratio Mathematica
53
1
페이지
277 ~ 284