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
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.
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