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Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrodinger equation

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posted on 27.01.2006, 11:44 by Roger Grimshaw
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.

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School

  • Science

Department

  • Mathematical Sciences

Pages

286781 bytes

Publication date

2006

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This is a pre-print.

Language

en