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Dynamical features of
soliton interactions in
continuous and discrete vector nonlinear Schrodinger system
Barbara Prinari
INFN, Lecce, Italy
We analyze the
dynamical features associated with soliton interactions in the
continuous and discrete vector NLS equation. We give general formulas
for the polarization shifts in the multisoliton interactions and show
that in both cases the interactions are pairwise and independent of
the order in which the collisions take place. We identify the various
possibilities of energy redistributions among the modes of the
solitons and express them as (generalized) linear fractional
transformations. Finally, following Steiglitz et al, we interpret the
multisoliton solutions as (optical) logic gates.
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