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Mapping between space-like curve flows and soliton equations in Minkowski space
- Issue Date
- Mar-2024
- Publisher
- World Scientific Publishing Co
- Keywords
- AKNS hierarchy; complex KdV; Hasimoto map; Heisenberg spin chain model
- Citation
- International Journal of Geometric Methods in Modern Physics, v.21, no.04
- Indexed
- SCIE
SCOPUS
- Journal Title
- International Journal of Geometric Methods in Modern Physics
- Volume
- 21
- Number
- 04
- 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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