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arXiv · 1902.04978

Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation

Svetlana V. Gurevich·Christian Schelte·Julien Javaloyes
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Abstract

We investigate the impact of higher-order nonlinear and dispersive effects on the onset of soliton explosions in the complex cubic-quintic Ginzburg-Landau equation. We show how the interplay of the high order effects (HOEs) results in the splitting of symmetric explosion modes and to the formation of right- or left-side periodic explosions. In addition, we demonstrate that HOEs induce a series of pulsating instabilities, leading to a significant reduction of the stability region of the single soliton solution.

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Svetlana V. Gurevich, Christian Schelte, Julien Javaloyes. 2019-02-13. Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation. https://doi.org/10.1103/physreva.99.061803

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