Abstract

New soliton explosions in the context of the complex Swift–Hohenberg equation (CSHE) have been found and analyzed in both temporal and spectral domains. In particular, very irregular explosions, with huge temporal extensions, were found. A region of existence of these explosive solitons in the plane (ν,ϵ) was also found. The impact of the filter profile and the higher-order effects (HOEs), namely, intrapulse Raman scattering and third-order dispersion, is analyzed. A comparison between the CSHE and the complex Ginzburg–Landau equation (CGLE) soliton explosions is performed. Simulations show that a proper combination of the filter profile and HOEs allows a fixed-shape pulse propagation for HOEs parameter values lower than in the CGLE case.

© 2018 Optical Society of America

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