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Mapping between space-like curve flows and soliton equations in Minkowski space

Authors
Yüzbaşl, Zühal KüçükarslanYoon, Dae WonMyrzakulov, Ratbay
Issue Date
Nov-2023
Publisher
World Scientific
Keywords
AKNS hierarchy; complex KdV; Hasimoto map; Heisenberg spin chain model
Citation
International Journal of Geometric Methods in Modern Physics
Indexed
SCIE
SCOPUS
Journal Title
International Journal of Geometric Methods in Modern Physics
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/68969
DOI
10.1142/S0219887824500804
ISSN
0219-8878
1793-6977
Abstract
In this study, we demonstrate that when three distinct moving space-like curves with the time-like binormal vectors satisfy the generalizations of the Heisenberg spin chain model, these models are equivalent to the third-order system of the AKNS hierarchy and the complex KdV-type equations. © 2024 World Scientific Publishing Company.
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