The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

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

We report optical experiments allowing us to investigate integrable turbulence in the
focusing regime of the one-dimensional nonlinear Schrödinger equation (1D NLSE). In …

We examine the statistical properties of nonlinear random waves that are ruled by the one-
dimensional defocusing and integrable nonlinear Schrödinger equation. Using fast …

We apply the Magnus expansion to the Zakharov–Shabat system, providing a basis for a
systematic construction of high-order numerical schemes to solve the direct scattering …

Wavefront shaping is a powerful technique that can be used to focus light through scattering
media, which can be important for imaging through scattering samples such as tissue. This …

Theory of direct scattering transform for nonlinear wave fields containing solitons is revisited
to overcome fundamental difficulties hindering its stable numerical implementation. With the …

We consider a spatially extended box-shaped wave field that consists of a plane wave (the
condensate) in the middle and equals zero at the edges, in the framework of the focusing …

We examine the general question of statistical changes experienced by ensembles of
nonlinear random waves propagating in systems ruled by integrable equations. In our study …

The nonlinear Schrödinger equation (NLSE) is often used as a master path-average model
for fiber-optic transmission lines. In general, the NLSE describes the co-existence of …