# Fourier spectrum and related characteristics of the fundamental bright soliton solution

@inproceedings{Karjanto2022FourierSA, title={Fourier spectrum and related characteristics of the fundamental bright soliton solution}, author={Natanael Karjanto}, year={2022} }

We derive exact analytical expressions for the spatial Fourier spectrum of the fundamental bright soliton solution for the ( 1 + 1 ) -dimensional nonlinear Schrödinger equation. Similar to a Gaussian proﬁle, the Fourier transform for the hyperbolic secant shape is also shape-preserving. We further conﬁrm that the fundamental soliton indeed satisﬁes essential characteristics such as Parseval’s relation and the stretch-bandwidth reciprocity relationship. The fundamental bright solitons ﬁnd rich…

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