The N-Soliton Interactions, Complex Toda Chain and Stable Propagation of NLS Soliton Trains
One of the important problems in optical fiber soliton communication is to achieve as high of a bit rate as possible. In order to do this, one needs to be able to pack the solitons into as short of a space as possible. However, if the solitons are too close together, then their mutual interactions can cause them to collide and/or separate, thereby corrupting the signal. The current solution of this problem is simply to require each soliton to be sufficiently far apart from all others (usually 6 or so soliton widths) so that such interactions can be totally neglected. However, at the same time, it was predicted [1, 2] and experimentally confirmed  that for certain values of relative soliton parameters, this separation can be reduced, and at the same time, still maintain signal integrity. Our purpose is to analytically and numerically detail the soliton parameter regime, inside of which, signal integrity can be maintained. In particular, we are interested to determine how the inter-soliton interaction can be used for stabilizing a soliton train.
KeywordsAsymptotic Regime Nonlinear Schrodinger Equation Soliton Pulse Soliton Propagation Soliton Interaction
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