The description of phonon heat conduction has typically been based on Fourier diffusion
theory. However, over the past three decades, a host of interesting phonon transport …

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 …

We review the spectral theory of soliton gases in integrable dispersive hydrodynamic
systems. We first present a phenomenological approach based on the consideration of …

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 …

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 input power-induced transformation of the transverse intensity profile at the output of
graded-index multimode optical fibers from speckles into a bell-shaped beam sitting on a …

We report on an experimental realization of a bidirectional soliton gas in a 34-m-long wave
flume in a shallow water regime. We take advantage of the fission of a sinusoidal wave to …

Instabilities are common phenomena frequently observed in nature, sometimes leading to
unexpected catastrophes and disasters in seemingly normal conditions. One prominent form …

Solitons and breathers are localized solutions of integrable systems that can be viewed as
“particles” of complex statistical objects called soliton and breather gases. In view of the …

Intramolecular vibrational energy redistribution (IVR) impacts the dynamics of reactions in a
profound way. Theoretical and experimental studies are increasingly indicating that …