On the description of N-soliton interaction in optical fibers

We show that the interaction of a finite number of solitons propagating in an optical fiber may be reasonably described by a generalized quasiparticle approach. The results for the positions of the pulses agree well with the numerical findings, at least up to the point of the smallest separation, even for pulses with slightly different amplitudes. It turns out that for trains with a large number of out-of-phase pulses the positions may be reasonably described by the Toda lattice equation although their derivation is mathematically not consistent.

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