Identification of Spines in Nonlinear Fourier Spectra for the Periodic Nonlinear Schrödinger Equation: Internship WI5118 - Report

The nonlinear Fourier transform for the focusing periodic nonlinear Schrodinger equation is investigated. This paper is focused on the approximation of the spines in the nonlinear spectrum using results from Floquet theory. Algorithms for the numerical computation of the spines based on the Fourier collocation method are...