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VOL. 20 | 2019 Integrability of the Two-Layer Spin System
Gulgassyl Nugmanova, Akbota Myrzakul

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

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.

Information

Published: 1 January 2019
First available in Project Euclid: 21 December 2018

zbMATH: 1411.37056
MathSciNet: MR3887751

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

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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