Fig. 1

The bright wave structure to Eq. (33) exhibits a localized peak intensity on a continuous background in 3D and contour plots, adjusted by free parameters: \(\varrho =.98,~ a_1=0.85,~k_0=0.05,~\mu =-0.75,~\tau =0.7,~\text{ and }~\omega =0.55.\).