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physics.comp-ph2019
A Chebyshev Spectral Method for Nonlinear Fourier Transform: Norming Constants
Vishal Vaibhav
In this paper, we present a Chebyshev based spectral method for the computation of the Jost solutions corresponding to complex values of the spectral parameter in the Zakharov--Sha…
physics.comp-ph2019
A Fast Chebyshev Spectral Method for Nonlinear Fourier Transform
Vishal Vaibhav
In this letter, we present a fast and well-conditioned spectral method based on the Chebyshev polynomials for computing the continuous part of the nonlinear Fourier spectrum. The a…
physics.comp-ph2019
Fast Nonlinear Fourier Transform using Chebyshev Polynomials
Vishal Vaibhav
We explore the class of exponential integrators known as exponential time differencing (ETD) method in this letter to design low complexity nonlinear Fourier transform (NFT) algori…