title: Modulational instability windows in the nonlinear Schrödinger equation involving higher-order Kerr responses.
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.
authors: Max Planck Institute for the Science of Light, Günther-Scharowsky Strasse 1, 91058 Erlangen, Germany.
authors: David
authors: D
authors: Novoa
authors: Departamento de Física Aplicada. Universidade de Vigo, As Lagoas s/n, 32004 Ourense, Spain.
authors: Daniele
authors: D
authors: Tommasini
authors: Departamento de Física Aplicada. Universidade de Vigo, As Lagoas s/n, 32004 Ourense, Spain.
authors: José A
authors: JA
authors: Nóvoa-López