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arXiv · 1006.2223

Dissipative solitons: perturbations and chaos formation

Vladimir L. Kalashnikov
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Abstract

The perturbations of chirped dissipative solitons are analyzed in the spectral domain. It is shown, that the structure of the perturbed chirped dissipative soliton is highly nontrivial and has a tendency to an enhancement of the spectral perturbations especially at the spectrum edges, where the irregularities develop. Even spectrally localized perturbations spread over a whole soliton spectrum. As a result of spectral irregularity, the chaotic dynamics develops due to the spectral loss action. In particular, the dissipative soliton can become fragmented though remains localized.

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Vladimir L. Kalashnikov. 2010-06-11. Dissipative solitons: perturbations and chaos formation. https://doi.org/10.1142/9789814350341_0023

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