Average soliton dynamics in strongly perturbed systems

Abstract We advance the average soliton concept to include averaging of the pulse shape in addition to the pulse energy. A simple prescription is presented for the optimum launch position of a bandwidth-limited sech( t ) pulse, relative to the periodic cycle. We identify how this result can also be obtained from the Lie algebra approach by Hasegawa and Kodama (Optics Lett. 15 (1990) 1443). Improved stability and reduced pulse distortion is demonstrated in a numerical example. Application of this result will enhance the performance of some strongly perturbed, soliton-based, amplified optical communication systems.

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