Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

The physics of quantum degenerate atomic Fermi gases in uniform as well as in
harmonically trapped configurations is reviewed from a theoretical perspective. Emphasis is …

There is growing physical and mathematical interest in the hydrodynamics of
dissipationless/dispersive media. Since GB Whitham's seminal publication fifty years ago …

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 present the first exact solution for the time-dependent equations of the macroscopic
fluctuation theory (MFT) for the symmetric simple exclusion process by combining a …

The dynamics of two penetrating superfluids exhibit an intriguing variety of nonlinear effects.
Using two distinguishable components of a Bose-Einstein condensate, we investigate the …

In most classical fluids, shock waves are strongly dissipative, their energy being quickly lost
through viscous dam**. But in systems such as cold plasmas, superfluids and Bose …

The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …

We investigate the formation of collisionless shocks along the spatial profile of a Gaussian
laser beam propagating in nonlocal nonlinear media. For defocusing nonlinearity the shock …