Quantitative approach to breather pair appearance in nonlinear modulational instability
Résumé
We investigate the generation of symmetric and asym-metric pairs of breathers from localized disturbances in the nonlinear stage of modulational instability governed by the nonlinear Schrödinger equation. An asymptotic matching approach allows us to predict with great accuracy how their emergence and their evolution depend on the parameters of the perturbation. The same approach turns out to be applicable to other classes of perturbations, which, due to their different decay in time, do not give rise to breathers.
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