Figure 3

The same as in Fig. 2, but for \(\beta =0.2\) in Eq. (3), i.e., with the gain-loss term subject to weak spatial confinement. In this case, there are no exact solitons solutions, while the asymptotic solution for the tails is given by Eq. (12) with \({\gamma }_{0}=0\) (the confinement eliminates γ₀ from the asymptotic solution).