Proceedings of the International Conference on Geometry, Integrability and Quantization

Integrability of the Two-Layer Spin System

Gulgassyl Nugmanova and Akbota Myrzakul

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Abstract

Among nonlinear evolutionary equations integrable ones are of particular interest since only in this we case can theoretically study the model in detail and in-depth. In the present, we establish the geometric connection of the well-known integrable two-component Manakov system with a new two-layer spin system. This indicates that the latter system is also integrable. In this formalism, geometric invariants define some important conserved quantities associated with two interacting curves, and with the corresponding nonlinear evolution equations.

Article information

Source
Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Vladimir Pulov and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2019), 208-214

Dates
First available in Project Euclid: 21 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1545361494

Digital Object Identifier
doi:10.7546/giq-20-2019-208-214

Mathematical Reviews number (MathSciNet)
MR3887751

Zentralblatt MATH identifier
07060439

Citation

Nugmanova, Gulgassyl; Myrzakul, Akbota. Integrability of the Two-Layer Spin System. Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization, 208--214, Avangard Prima, Sofia, Bulgaria, 2019. doi:10.7546/giq-20-2019-208-214. https://projecteuclid.org/euclid.pgiq/1545361494


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