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.
|Number of pages||4|
|Early online date||3 Jul 2018|
|Publication status||Published - 27 Jul 2018|
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Contour integrals for numerical computation of discrete eigenvalues in the Zakharov-Shabat problem
Vasylchenkova, A. (Creator), Prylepskiy, Y. (Creator) & Turitsyn, S. (Creator), Aston Data Explorer, 10 Sep 2018
DOI: 10.17036/researchdata.aston.ac.uk.00000378, https://www.osapublishing.org/ol/abstract.cfm?uri=ol-43-15-3690