Direct nonlinear Fourier transform algorithms for the computation of solitonic spectra in focusing nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2018.09.005OpenAlexW2744977198MaRDI QIDQ2206169

Yanyan Li

Publication date: 21 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01144

zbMATH Keywords

nonlinear Schrödinger equationsignal processinginverse scattering methodnumerical algorithms

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (4)

Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation ⋮ Introducing phase jump tracking -- a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem ⋮ Control of dark and anti-dark solitons in the \((2+1)\)-dimensional coupled nonlinear Schrödinger equations with perturbed dispersion and nonlinearity in a nonlinear optical system ⋮ Dispersive shock wave, generalized Laguerre polynomials, and asymptotic solitons of the focusing nonlinear Schrödinger equation

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