A comparison between the Split Step Fourier and Finite-Difference method in analysing the soliton collision of a type of Nonlinear Schrödinger equation found in the context of optical pulses

2017/09/14 by Luke Taylor, Taylor, Luke
Physics and Astronomy · #Advanced Fiber Laser Technologies #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1709.04805

openalex publication_date 2017/09/14 · openalex created_date 2017/09/25 · openalex updated_date 2026/07/28

Abstract

In this report a type of Schrödinger Equation which is found in the context of optical pulses is analysed using the Split Step and Finite Difference method. The investigation shows interesting dynamics regarding certain values for parameter S as well as a comparison between the two numeric schemes demonstrating the Split Step to be superior for this problem.

Citations

• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation

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