Contour integrals for numerical computation of discrete eigenvalues in the Zakharov–Shabat problem


We propose a novel algorithm for the numerical computation of discrete eigenvalues in the Zakharov–Shabat problem. Our approach is based on contour integrals of the nonlinear Fourier spectrum function in the complex plane of the spectral parameter. The reliability and performance of the new approach are examined in application to a single eigenvalue, multiple eigenvalues, and the degenerate breather’s multiple eigenvalue. We also study the impact of additive white Gaussian noise on the stability of numerical eigenvalues computation.

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Divisions: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: ©2018 Optical Society of America]. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited.
Uncontrolled Keywords: Atomic and Molecular Physics, and Optics
Publication ISSN: 1539-4794
Last Modified: 15 Apr 2024 07:28
Date Deposited: 24 Sep 2018 10:45
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://www.osa ... i=ol-43-15-3690 (Publisher URL)
PURE Output Type: Article
Published Date: 2018-07-27
Published Online Date: 2018-07-03
Accepted Date: 2018-07-02
Authors: Vasylchenkova, Anastasiia (ORCID Profile 0000-0002-6997-9427)
Prilepsky, Jaroslaw E. (ORCID Profile 0000-0002-3035-4112)
Turitsyn, Sergei K. (ORCID Profile 0000-0003-0101-3834)



Version: Accepted Version

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