29 citations · 165 across the 21 of their papers we have counts for
4 papers · 1 filter
Higher Order Convergent Fast Nonlinear Fourier Transform
Vishal Vaibhav
It is demonstrated is this letter that linear multistep methods for integrating ordinary differential equations can be used to develop a family of fast forward scattering algorithm…
Exact Solution of the Zakharov-Shabat Scattering Problem for Doubly-Truncated Multi-Soliton Potentials
V. Vaibhav
Recent studies have revealed that multi-soliton solutions of the nonlinear Schrödinger equation, as carriers of information, offer a promising solution to the problem of nonlinear…
Fast Inverse Nonlinear Fourier Transform
Vishal Vaibhav
This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU-nonlinear Fourier transform (NFT). The theoretical und…
Fast Inverse Nonlinear Fourier Transformation using Exponential One-Step Methods, Part I: Darboux Transformation
Vishal Vaibhav
This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the SU-nonlinear Fourier transformation (NFT). The theoretica…