The Optical Soliton Contents of some Special Input Pulses

Burzlaff, J. (1988) The Optical Soliton Contents of some Special Input Pulses. (Preprint)

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Abstract

The optical soliton contents of some special input pulses and their Galilei transforms will be determined by solving the linear eigenvalue problem associated with the non-linear Schrödinger equation. The special cases discussed are the initial envelope function of width a and height β, the initial envelope function —iβ*exp(—α|x|) and the super-Gaussian initial pulse. Throughout, we compare our problem to the Korteweg-de Vries problem where a good understanding can be gained through Sturm-Liouville theory.

Item Type:	Article
Divisions:	School of Theoretical Physics > Preprints
Date Deposited:	19 Jun 2018 14:17
Last Modified:	16 Dec 2022 02:34
URI:	https://dair.dias.ie/id/eprint/798

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