Higher Order Convergent Fast Nonlinear Fourier Transform
Higher Order Convergent Fast Nonlinear Fourier Transform
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 algorithms with higher orders of convergence. Excluding the cost of computing the discrete eigenvalues, the nonlinear Fourier transform (NFT) algorithm thus obtained has a …