Swift-Hohenberg soliton explosions

摘要

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 (nu, epsilon) 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. (c) 2018 Optical Society of America