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Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrodinger equation
preprint
posted on 2006-01-27, 11:44 authored by Roger GrimshawA 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.
History
School
- Science
Department
- Mathematical Sciences
Pages
286781 bytesPublication date
2006Notes
This is a pre-print.Language
- en