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On mapping moving curves to complex KdV-type equations for the Darboux triad in Euclidean space

Authors
Yoon, Dae WonYüzbaşı, Zühal Küçükarslan
Issue Date
Jun-2025
Publisher
World Scientific Publishing Co
Keywords
complex KdV; Darboux triad; Euclidean space; Space curve
Citation
Modern Physics Letters A, v.40, no.19N20
Indexed
SCIE
SCOPUS
Journal Title
Modern Physics Letters A
Volume
40
Number
19N20
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/78585
DOI
10.1142/S021773232550066X
ISSN
0217-7323
1793-6632
Abstract
In this paper, we show a class of moving curves for the Darboux triad in Euclidean space that can be mapped onto complex KdV-type equations via the generalization of the Heisenberg ferromagnetic spin chain model. Furthermore, we give an approximation of the relationships with certain standard evolution equations. © 2025 World Scientific Publishing Company.
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