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arXiv · 1811.12216

Notes on Integrable Motion of Two Interacting Curves and Two-layer Generalized Heisenberg Ferromagnet Equations

Zhaidary Myrzakulova·Akbota Myrzakul·Gulgassyl Nugmanova·Ratbay Myrzakulov
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Abstract

In the present paper, we study the integrable 2-layer generalized Heisenberg ferromagnet equation (HFE). The relation between this generalized HFE and differential geometry of curves is established. Using this relation we found the geometrical equivalent counterpart of the 2-layer spin system which is the 2-component KdV equation. Finally, the gauge equivalence between these equations is established.

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Zhaidary Myrzakulova, Akbota Myrzakul, Gulgassyl Nugmanova, Ratbay Myrzakulov. 2018-11-28. Notes on Integrable Motion of Two Interacting Curves and Two-layer Generalized Heisenberg Ferromagnet Equations. https://arxiv.org/abs/1811.12216

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