Mapping between space-like curve flows and soliton equations in Minkowski space
Yüzbaşl Z.K. Yoon D.W. Myrzakulov R.
30 March 2024World Scientific
International Journal of Geometric Methods in Modern Physics
2024#21Issue 4
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.
AKNS hierarchy , complex KdV , Hasimoto map , Heisenberg spin chain model
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Department of Mathematics, Flrat University, Elazig, 23119, Turkey
Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, 52828, South Korea
Eurasian International Center for Theoretical Physics, Department of General and Theoretical Physics, Eurasian National University, Nur-Sultan, 010009, Kazakhstan
Department of Mathematics
Department of Mathematics Education and RINS
Eurasian International Center for Theoretical Physics
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