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
arXiv:1709.048055 citationsh-index: 1
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Incremental comparison of two numerical methods for a specific optical pulse problem.
This study compares Split Step Fourier and Finite-Difference methods for solving a Nonlinear Schrödinger equation in optical pulse soliton collision, finding the Split Step method superior.
In this report a type of Schrödinger 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.