Exotic vector rogue waves and their patterns in a vector nonlocal nonlinear Schrödinger equation

Source abstract

In this work, we investigate rogue waves in the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation, a [Formula: see text]-symmetric and integrable Hamiltonian model. Building on the generalized Darboux transformation with variable separation, we observe intriguing phenomena: Coexistence of dark-bright rogue waves, displacement-parameter-induced alterations in wave peak count, destructive collapsed wave pairs, and ordered circular clusters. The key to these phenomena lies in the combination of linear solutions and displacement parameters. Finally, we investigated the modulation instability conditions of this system. These results have potential applications in applied sciences such as nonlinear optics and oceanic engineering.