We provide an introduction to different wave turbulence formalisms describing the
propagation of partially incoherent optical waves in nonlinear media. We consider the …

We review different formalisms describing temporal incoherent waves: the wave turbulence
kinetic equation, the Vlasov equation in analogy with Gravitation, the weak Langmuir …

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 …

During this last decade, several remarkable phenomena inherent to the nonlinear
propagation of incoherent optical waves have been reported in the literature. This article is …

Considering the nonlinear Schrödinger (NLS) equation as a representative model, we report
a unified presentation of different forms of incoherent shock waves that emerge in the long …

The propagation of partially coherent nonlinear optical waves is a topic of growing interest in
different fields of investigations, such as, eg, wave propagation inhomogeneous or periodic …

We study the nonlinear interaction of partially incoherent nonlinear optical waves. We show
that, in spite of the incoherence of the waves, coherent phase effects may play a relevant …

We present theory, numerical simulations and experimental observations of a 1D optical
wave system. We show that this system is of a dual cascade type, namely, the energy …

This article presents a unified kinetic formulation of partially coherent nonlinear optical
waves propagating in a noninstantaneous response Kerr medium. We derive a kinetic …

Nonlinear optics and photonics research remains an active field with new phenomena and
applications to be explored in the immediate future. It also remains a platform to study similar …