The nonlinearity of surface gravity waves refers to their deviations from a sinusoidal shape. In the fields of physical oceanography and coastal engineering...

represents the nonlinearity. The equation models many nonlinearity effects in a fiber, including but not limited to self-phase modulation, four-wave mixing,...

frequency of rogue waves. Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation...

"wave mixing". In general, an n-th order nonlinearity will lead to (n + 1)-wave mixing. As an example, if we consider only a second-order nonlinearity...

on four-wave mixing use the third order nonlinearity, as opposed to most typical parametric oscillators which use the second-order nonlinearity. Apart...

The wave base, in physical oceanography, is the maximum depth at which a water wave's passage causes significant water motion. At water depths deeper...

changes the nature of the nonlinear effect over distance. To describe their level of nonlinearity, materials can be given a nonlinearity parameter, B / A {\displaystyle...

does exist in the presence of nonlinearity, and in many cases it self-generates from a Gaussian (in any direction) wave packet. The distinctive feature...

In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is strongly stable, in that it preserves its shape...

shape deviates from a pure sinusoidal wave. In mathematical terms, the wave owes its nonlinearity due to the nonlinear advection and frictional terms in the...

This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology. Some authors use the term nonlinear science...

Look up nonlinear or nonlinearity in Wiktionary, the free dictionary. Nonlinearity is a property of mathematical functions or data that cannot be graphed...

that a wave travels through. Examples of waves are sound waves, light, water waves and periodic electrical signals in a conductor. A sound wave is a variation...

several second-order nonlinear properties of surface gravity waves, and their propagation, can be estimated from its results. Airy wave theory is also a good...

x^{2}}}\right)\,=\,0.} From the terms between brackets, the importance of nonlinearity of the equation can be expressed in terms of the Ursell number. In dimensionless...

mathematics expert working in homotopy analysis method (HAM), nonlinear waves, nonlinear dynamics, and applied mathematics. He was born in Wuhan, Hubei...

of sound wave produced by constructive interference. Unlike solitons (another kind of nonlinear wave), the energy and speed of a shock wave alone dissipates...

c^{2}={\frac {g}{k}},} which is independent of the wave nonlinearity (i.e. does not depend on the wave height H {\displaystyle H} ), and this phase speed...

infragravity waves, which are due to subharmonic nonlinear wave interaction with the wind waves, have periods longer than the accompanying wind-generated waves. In...

Trochoidal wave Tsunami megatsunami Undertow Ursell number Wave action Wave base Wave height Wave nonlinearity Wave power Wave radar Wave setup Wave shoaling...

the effects of, for instance: wave–current interaction, wave nonlinearity, steeper sea-bed slopes, bed friction and wave breaking. Also parabolic approximations...

travelling wave; by contrast, a pair of superimposed periodic waves traveling in opposite directions makes a standing wave. In a standing wave, the amplitude...

generation (SHG), also known as frequency doubling, is the lowest-order wave-wave nonlinear interaction that occurs in various systems, including optical, radio...

In physics, electromagnetic radiation (EMR) is a self-propagating wave of the electromagnetic field that carries momentum and radiant energy through space...

and amplitudes in the tens of meters. Rossby Waves Rossby waves, or planetary waves are huge, slow waves generated in the troposphere by temperature differences...

The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e...

In physics, a standing wave, also known as a stationary wave, is a wave that oscillates in time but whose peak amplitude profile does not move in space...

In continuum mechanics, wave turbulence is a set of nonlinear waves deviated far from thermal equilibrium. Such a state is usually accompanied by dissipation...

Trochoidal wave Tsunami megatsunami Undertow Ursell number Wave action Wave base Wave height Wave nonlinearity Wave power Wave radar Wave setup Wave shoaling...

always; see nonlinear optics), the behavior of any light wave can be understood as a superposition of the behavior of these simpler plane waves. Waves are usually...