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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/721

Title: Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrodinger equation
Authors: Grimshaw, Roger H.J.
Keywords: variable coefficient
nonlinear Schrodinger equation
soliton solutions
optical fibers
Issue Date: 2006
Abstract: A non-integrable, variable coefficient nonlinear Schrodinger equation which governs the nonlinear pulse propagation in an inhomogeneous medium is considered. The same equation is also applicable to optical pulse propagation in averaged, dispersion-managed optical fiber systems, or fiber systems with phase modulation and pulse compression. Multi-scale asymptotic techniques are employed to establish the leading order approximation of a solitary wave. A direct numerical simulation shows excellent agreement with the asymptotic solution. The interactions of two pulses are also studied.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/721
Appears in Collections:Pre-prints (Maths)

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