We analyze the propagation dynamics of intense light pulses in an optical medium
exhibiting cubic–quintic nonlinearity and pure fourth-order dispersion. We show that this …

We report a continuum of pulselike soliton solutions to the generalized nonlinear
Schrödinger equation with both quadratic and quartic dispersion and a Kerr nonlinearity. We …

We consider ultrashort light pulse propagation through an inhomogeneous monomodal
optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a …

We show theoretically that highly dispersive optical media characterized by a Kerr nonlinear
response may support the existence of quartic and dipole solitons in the presence of the self …

We study localized dissipative structures in a generalized Lugiato–Lefever equation,
exhibiting normal group-velocity dispersion and anomalous quartic group-velocity …

In conventional temporal optical solitons the effect of the nonlinearity is balanced by that of
quadratic dispersion. In recent work we have considered solitons that balance the …

A generalized nonlinear Gross–Pitaevskii equation with the third-, fourth-order dispersions,
and the cubic, quintic nonlinear terms is considered, which shows that the wave velocity …

We study the existence and characterization of self-trapping phenomena in discrete-time
quantum walks. By considering a Kerr-like nonlinearity, we associate an acquisition of the …

In ultrafast fiber lasers, the influence of higher-order effects on mode-locked pulses becomes
increasingly notable as the pulse width decreases from the subpicosecond to the …

The nonlinear interaction of copropagating optical solitons enables a large variety of
intriguing bound-states of light. We here investigate the interaction dynamics of two initially …