Evolution of cubic–quintic complex Ginzburg–Landau erupting solitons under the effect of third-order dispersion and intrapulse Raman scattering

The effects of third-order dispersion (TOD) and intrapulse Raman scattering (IRS) on the erupting solitons of the complex cubic–quintic Ginzburg–Landau equation are investigated by direct numerical simulations and linear stability analysis. Our results indicate that positive TOD eliminates eruptions on the leading edge of the soliton, whereas negative TOD cancels them on the other side. Moreover, the combined action of TOD and IRS is in certain cases able to eliminate explosions on both sides of the soliton, at much lower IRS values than with IRS alone. The profiles of the stationary solutions are increasingly asymmetric with TOD, and their velocity varies almost linearly with IRS. -- Highlights: ► TOD cancels one side eruptions of the CGLE eruption solitons. ► The cancellation is on the leading or trailing sides of the solitons depending on the TOD sign. ► The combined action of TOD and IRS is, in certain cases, able to completely eliminate eruptions. ► The later cancellation is obtained for lower values of IRS than the obtained for IRS alone.