Spectral curves for the multi-phase solutions of Manakov system-Reference-Cited by-同舟云学术

Spectral curves for the multi-phase solutions of Manakov system

Published:2020-05-01 Issue:5 Volume:862 Page:052041
ISSN:1757-8981
Container-title:IOP Conference Series: Materials Science and Engineering
language:
Short-container-title:IOP Conf. Ser.: Mater. Sci. Eng.

Author:

Smirnov A O,Frolov E A,Gerdjikov V S

Abstract

Abstract The hierarchies of multi-component models of Manakov type are briefly outlined. Many of them have important applications to nonlinear optics. Next we develop a method for calculating the spectral curves for the multi-phase solutions of these equations. We discuss also other multi-component generalization of Manakov system to which our method can be extended.

Publisher

IOP Publishing

Subject

General Medicine

Link

https://iopscience.iop.org/article/10.1088/1757-899X/862/5/052041/pdf

Reference24 articles.

1. On the theory of two-dimensional stationary self-focussing of electromagnetic waves;Manakov;Sov. Phys. JETP,1974

2. Polarization-division multiplexing based on the nonlinear Fourier transform;Goossens,2017

3. Experimental demonstration of dual polarization nonlinear frequency division multiplexed optical transmission system;Gaiarin,2017

4. Dual polarization nonlinear Fourier transform-based optical communication system;Gaiarin,2018

5. The inverse scattering transform-Fourier analysis for nonlinear problems;Ablowitz;Studies in Appl. Math.,1974

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