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

A non-integrable, variable coefficient nonlinear Schrodinger equation which governs the nonlinear\npulse propagation in an inhomogeneous medium is considered. The same equation is also applicable\nto optical pulse propagation in averaged, dispersion-managed optical fiber systems, or fiber systems\nwith phase modulation and pulse compression. Multi-scale asymptotic techniques are employed to\nestablish the leading order approximation of a solitary wave. A direct numerical simulation shows\nexcellent agreement with the asymptotic solution. The interactions of two pulses are also studied.

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