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

Soliton gases represent large random soliton ensembles in physical systems that exhibit
integrable dynamics at the leading order. Despite significant theoretical developments and …

Breathers or oscillating wave packets, along with solitons, are the most energy-carrying
waves in various physical media, ie surface and internal waves, optical networks, and …

The concept of soliton gas was introduced in 1971 by Zakharov as an infinite collection of
weakly interacting solitons in the framework of Korteweg–de Vries (KdV) equation. In this …

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 …

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 …

The role of multiple soliton and breather interactions in the formation of very high waves is
disclosed within the framework of the integrable modified Korteweg–de Vries (MKdV) …

We study numerically the properties of (statistically) homogeneous soliton gas depending on
soliton density (proportional to number of solitons per unit length) and soliton velocities, in …

A catalogue of anomalously large waves (rogue or freak waves) occurred in the World
Ocean during 2011–2018 reported in mass media sources and scientific literature has been …

Dynamics of random multi-soliton fields within the framework of the modified Korteweg–de
Vries equation is considered. Statistical characteristics of a soliton gas (distribution functions …