A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Kerr optical frequency comb as a novel microcomb source has found a variety of key
applications from fundamental research to engineering applications. Generation of such …

By means of a modified Lugiato–Lefever equation model, we investigate the nonlinear
dynamics of dissipative wave structures in coherently-driven Kerr cavities with a parabolic …

We analyze the stability and dynamics of dissipative Kerr solitons (DKSs) in the presence of
a parabolic potential. This potential stabilizes oscillatory and chaotic regimes, favoring the …

We theoretically investigate the combined impact of the Kerr and stimulated Raman
scattering effect on the formation of localized structures and frequency comb generation. We …

We theoretically investigate the dynamics, bifurcation structure, and stability of localized
states in Kerr cavities driven at the pure fourth-order dispersion point. Both the normal and …

We investigate the formation of dark vector dissipative solitons in the presence of nonlinear
polarization mode coupling in optical resonators subject to a coherent optical injection in the …