Nonlinear waves in hyperbolic metamaterials: focus on solitons and rogues

Abstract

This work develops a nonlinear Schrödinger‑type model specific to type II hyperbolic metamaterials, capturing non‑stationary diffraction and dispersion behaviors in planar hyperbolic media. Numerical experiments reveal that Peregrine and near‑Peregrine solitons—rogue wave–like phenomena—can emerge within this nonlinear hyperbolic environment, providing new pathways for rogue wave formation potentially controllable via magneto‑optical tuning.