Metamaterials displaying negative refractive index has remarkable potential to facilitate the manipulation of incident waves for wide variety of applications such as cloaking, superlensing and the like. Space-coiling approach is a recently explored technique to achieve extreme properties. The space coiling phenomena cause less energy absorption as compared to local resonating phenomena for obta...

Extreme events such as rogue waves in optics and fluids are often associated with the merging dynamics of coherent structures. We present experimental and numerical results on the physics of extreme event appearance in a spatially extended semiconductor microcavity laser with an intracavity saturable absorber. This system can display deterministic irregular dynamics only, thanks to spatial coup...

Interaction of two long-crested shallow water waves is analysed in the framework of the two-soliton solution of the Kadomtsev-Petviashvili equation. The wave system is decomposed into the incoming waves and the interaction soliton that represents the particularly high wave hump in the crossing area of the waves. Shown is that extreme surface elevations up to four times exceeding the amplitude o...

We consider the problem of resolving all pairwise interactions of shock waves, contact waves, and rarefaction waves in 1-dimensional flow of an ideal polytropic gas. Resolving an interaction means here to determine the types of the three outgoing (backward, contact, and forward) waves in the Riemann problem defined by the extreme left and right states of the two incoming waves, together with po...

Abstract We show that highly confined superfluid films are extremely nonlinear mechanical resonators, offering the prospect to realize a qubit. Specifically, we consider third-sound surface waves, with nonlinearities introduced by van der Waals interaction substrate. Confining these waves disk, derive analytic expressions for cubic and quartic determine resonance frequency shifts they introduce...

In the framework of focusing one-dimensional nonlinear Schr\"odinger equation, we study numerically integrable turbulence developing from partially coherent waves (PCW), which represent superposition uncorrelated linear waves. The long-time evolution these initial conditions is characterized by emergence rogue with heavy-tailed (non-Gaussian) statistics, and, as was established previously, stro...

Unidirectional deep-water waves are studied theoretically and experimentally. Theoretically we apply the theory of the nonlinear Schroedinger equation (NLS) using the inverse scattering transform, a kind of generalized, nonlinear Fourier analysis. We discover from the theoretical study that there are essentially four kinds of physical effects that can lead to extreme waves: (1) the superpositio...