29 citations · 165 across the 21 of their papers we have counts for
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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…
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…
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…
Efficient Nonlinear Fourier Transform Algorithms of Order Four on Equispaced Grid
Vishal Vaibhav
We explore two classes of exponential integrators in this letter to design nonlinear Fourier transform (NFT) algorithms with a desired accuracy-complexity trade-off and a convergen…
Darboux Transformation: New Identities
Vishal Vaibhav
This letter reports some new identities for multisoliton potentials that are based on the explicit representation provided by the Darboux matrix. These identities can be used to co…