One-dimensional chains are used as a fundamental model of condensed matter, and have
constituted the starting point for key developments in nonlinear physics and complex …

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 …

Theoretical studies on wave turbulence predict that a purely classical system of random
waves can exhibit a process of condensation, which originates in the singularity of the …

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 …

Evolution of resonant three-wave interaction is governed by quadratic nonlinearities. While
propagating localized modes and inverse scattering mechanisms have been studied …

Recent studies have shown that light propagating in a nonlinear, highly multimode system
can thermalize in a manner totally analogous to that encountered in traditional statistical …

We consider the original β-Fermi-Pasta-Ulam-Tsingou system; numerical simulations and
theoretical arguments suggest that, for a finite number of masses, a statistical equilibrium …

The dynamics of Fermi-Pasta-Ulam (FPU) recurrence in a Manakov system is studied
analytically. Exact Akhmediev breather (AB) solutions for this system are found that cannot …

A landmark of statistical mechanics, spin-glass theory describes critical phenomena in
disordered systems that range from condensed matter to biophysics and social dynamics …

We report an exact link between Zakharov-Gelash super-regular (SR) breathers (formed by
a pair of quasi-Akhmediev breathers) with interesting different nonlinear propagation …