R Grimshaw et al 2007 Phys. Scr. 75 620 doi:10.1088/0031-8949/75/5/005
R Grimshaw1, K Nakkeeran2,4, C K Poon3 and K W Chow3
Show affiliationsA non-integrable, variable coefficient nonlinear Schrödinger 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 fibre systems, or fibre 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.
42.81.Dp Propagation, scattering, and losses; solitons
03.65.Ge Solutions of wave equations: bound states
42.65.Re Ultrafast processes; optical pulse generation and pulse compression
Issue 5 (May 2007)
Received 8 May 2006, accepted for publication 30 January 2007
Published 8 March 2007
R Grimshaw et al 2007 Phys. Scr. 75 620
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