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Cited 13 time in webofscience Cited 16 time in scopus
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Hasimoto surfaces for two classes of curve evolution in Minkowski 3-spaceopen access

Authors
Gurbuz, NevinYoon, Dae Won
Issue Date
Jan-2020
Publisher
Politechnika Warszawska
Keywords
Hasimoto surface; nonlinear Schrodinger equation; time evolution
Citation
Demonstratio Mathematica, v.53, no.1, pp 277 - 284
Pages
8
Indexed
SCOPUS
ESCI
Journal Title
Demonstratio Mathematica
Volume
53
Number
1
Start Page
277
End Page
284
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/7074
DOI
10.1515/dema-2020-0019
ISSN
0420-1213
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 Schrodinger equation.
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