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arXiv · 1501.01566

Modulational instability windows in the nonlinear Schrödinger equation involving higher-order Kerr responses

David Novoa·Daniele Tommasini·José A. Nóvoa-López
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Abstract

We introduce a complete analytical and numerical study of the modulational instability process in a system governed by a canonical nonlinear Schrödinger equation involving local, arbitrary nonlinear responses to the applied field. In particular, our theory accounts for the recently proposed higher-order Kerr nonlinearities, providing very simple analytical criteria for the identification of multiple regimes of stability and instability of plane-wave solutions in such systems. Moreover, we discuss a new parametric regime in the higher-order Kerr response which allows for the observation of several, alternating stability-instability windows defining a yet unexplored instability landscape.

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David Novoa, Daniele Tommasini, José A. Nóvoa-López. 2015-01-07. Modulational instability windows in the nonlinear Schrödinger equation involving higher-order Kerr responses. https://doi.org/10.1103/physreve.91.012904

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