We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

Laser cavity-solitons can appear in systems comprised of a nonlinear microcavity nested
within an amplifying fiber loop. These states are robust and self-emergent and constitute an …

Dissipative solitons are self-localized coherent structures arising from the balance between
energy supply and dissipation. Besides stationary dissipative solitons, there are dynamical …

Nonlinear systems with two competing frequencies show locking or resonances. In lasers,
the two interacting frequencies can be the cavity repetition rate and a frequency externally …

Breathing solitons are nonlinear waves in which the energy concentrates in a localized and
oscillatory fashion. Similarly to stationary solitons, breathers in dissipative systems can form …

Harnessing pulse generation from an ultrafast laser is a challenging task as reaching a
specific mode‐locked regime generally involves adjusting multiple control parameters, in …

We present both a theoretical description and experimental observation of the nonlinear
mutual interactions between a pair of copropagative breathers in the framework of the …

Solitons, the distinct balance between nonlinearity and dispersion, provide a route toward
ultrafast electromagnetic pulse sha**, high-harmonic generation, real-time image …

Understanding dynamical complexity is one of the most important challenges in science.
Significant progress has recently been made in optics through the study of dissipative soliton …

One of the most controversial phenomena in nonlinear dynamics is the reappearance of
initial conditions. Celebrated as the Fermi-Pasta-Ulam-Tsingou problem, the attempt to …