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Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model

Fatkhulla Kh. Abdullaev·Josselin Garnier
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Abstract

We consider the existence of a dynamically stable soliton in the one-dimensional cubic-quintic nonlinear Schrödinger model with strong cubic nonlinearity management for periodic and random modulations. We show that the predictions of the averaged cubic-quintic NLS equation and modified variational approach for the arrest of collapse coincide. The analytical results are confirmed by numerical simulations of one-dimensional cubic-quintic NLS equation with rapidly and strongly varying cubic nonlinearity coefficient.

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Fatkhulla Kh. Abdullaev, Josselin Garnier. 2005-07-04. Dynamical stabilization of solitons in cubic-quintic nonlinear Schrödinger model. https://doi.org/10.1103/physreve.72.035603

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