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Optical modeling for geometric phase for the Hasimoto transformations on unit sphere

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? 2022In this paper, the key issue we address here is the Hasimoto transformation in three-dimensional Euclidean space, which allows us to specify the magnetic trajectory for the spherical curve in R3. We, then show the motion of the spherical curve is equal to the nonlinear heat system. Lastly, we solve this nonlinear heat system numerically and then give a physical application of it.

Hasimoto transformationOptical modelingSchrodinger equationSmoke ring equationSpherical frameVortex filament flow

Korpinar T.、Korpinar Z.、Ugur Kaymanli G.

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Mu? Alparslan University Department of Mathematics

Mu? Alparslan University Department of Administration

?ank?r? Karatekin University Department of Mathematics

2022

Optik

Optik

EISCI
ISSN:0030-4026
年,卷(期):2022.267
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