Strongly chirped dissipative solitons in normal and anomalous dispersion regimes

V.L. Kalashnikov, E. Sorokin, A. Rudenkov and I.T. Sorokina

Chaos, Solitons & Fractals, 2026, vol. 210, issue P1

Abstract: We study strongly chirped dissipative solitons (DSs) of the cubic–quintic complex Ginzburg–Landau equation (CGLE) in both normal- and anomalous-group-delay dispersion regimes (NGD and AGD). Using a stationary-phase (adiabatic) approximation, we obtain analytic NGD and AGD spectra, allowing us to represent the DS parametric space as a master diagram that connects ratios of spectral filter parameters, group-delay dispersion (GDD), and self-phase (SPM) and self-amplitude (SAM) modulations to a scaled DS energy. A central result is that dissipative-soliton resonance (DSR) emerges in the NGD and follows directly from the admissibility constraints, whereas, in the AGD, it appears only when the DSR locus intersects the adiabatic existence window. The latter requires sufficiently strong quintic (saturable) SPM.

Keywords: Dissipative soliton; Complex Ginzburg–Landau equation; Chirp; Dissipative-soliton resonance; Femtosecond lasers; Bose–Einstein condensate; Thermodynamic framework (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:210:y:2026:i:p1:s0960077926007502

DOI: 10.1016/j.chaos.2026.118609

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