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Impact of higher-order effects on pulsating and chaotic solitons in dissipative systems

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Abstract

We investigate numerically, both in time and frequency domains, the influence of some higher-order effects, namely the third-order dispersion, intrapulse Raman scattering, and self-steepening, on the dynamics of different pulsating and chaotic solitons in dissipative systems, which are described by a generalized complex Ginzburg-Landau equation. We show that the higher-order effects can have a dramatic impact on the dynamics of such pulses and that, for some ranges of the parameter values, they can be transformed into fixed-shape solitons. This paper is dedicated to Prof. Helmut Brand on the occasion of his 60th birthday.

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Correspondence to Sofia C.V. Latas.

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Latas, S., Ferreira, M. Impact of higher-order effects on pulsating and chaotic solitons in dissipative systems. Eur. Phys. J. Spec. Top. 223, 79–89 (2014). https://doi.org/10.1140/epjst/e2014-02085-2

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  • DOI: https://doi.org/10.1140/epjst/e2014-02085-2

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