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arXiv · 1709.04805

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

Luke Taylor
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Abstract

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

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Luke Taylor. 2017-09-14. A comparison between the Split Step Fourier and Finite-Difference method in analysing the soliton collision of a type of Nonlinear Schr\"odinger equation found in the context of optical pulses. https://arxiv.org/abs/1709.04805

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