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

In optical fibres, weak modulations can grow at the expense of a strong pump to form a
triangular comb of sideband pairs, until the process is reversed. Repeated cycles of such …

We report recent results obtained with a novel optical fiber experimental setup based on a
heterodyne optical time-domain reflectometer in the context of FPU recurrence process …

Tolerance is a long-recognized property of macrophages that leads to an altered response
to repeated or chronic exposure to endotoxin. The physiological role of tolerance is to limit …

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 …

The double-periodic solutions of the focusing nonlinear Schrödinger equation have been
previously obtained by the method of separation of variables. We construct these solutions …

Wave and sea ice properties in the Arctic and Southern Oceans are linked by feedback
mechanisms, therefore the understanding of wave propagation in these regions is essential …

We consider the rogue dn-periodic waves (the rogue wave solutions on the dn-periodic
waves background) for the Hirota equation by using Darboux transformation. We take …

The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics
and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and …

We report an optical fiber experiment in which we study the nonlinear stage of modulational
instability of a plane wave in the presence of a localized perturbation. Using a recirculating …