Solitary wave solution for a non-integrable, variable coefficient nonlinear Schrödinger equation
Roger GrimshawDepartment of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UKK. NakkeeranDepartment of Engineering, Fraser Noble Building, King's College, University of Aberdeen, Aberdeen AB24 3UE, UKCK PoonDepartment of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong KongKW ChowDepartment of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong
2007en
ABI
Annotatsiya
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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