Abstract
Our direct computer experiments reveal the main features of the induced modulational instability in the sign-reversal dispersion traps and offer a clearer view of how nonlinear analogies to the “déjà vu” phenomena have arisen. We demonstrate the crucial role of the higher-order dispersion in the origin of the imperfect Fermi–Pasta–Ulam recurrence and partial “déjà vu” phenomena. Induced modulational instability can be used to generate the steady-state soliton trains in the sign-reversal parabolic dispersion traps with exponentially decreasing dispersion.
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