The nonlinearity of surface gravity waves refers to their deviations from a sinusoidal shape. In the fields of physical oceanography and coastal engineering...
15 KB (1,869 words) - 22:16, 22 May 2025
represents the nonlinearity. The equation models many nonlinearity effects in a fiber, including but not limited to self-phase modulation, four-wave mixing,...
24 KB (3,272 words) - 05:15, 19 May 2025
frequency of rogue waves. Among other causes, studies of nonlinear waves such as the Peregrine soliton, and waves modeled by the nonlinear Schrödinger equation...
113 KB (12,437 words) - 10:20, 5 April 2025
on four-wave mixing use the third order nonlinearity, as opposed to most typical parametric oscillators which use the second-order nonlinearity. Apart...
10 KB (1,227 words) - 21:15, 24 May 2025
"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...
53 KB (6,736 words) - 22:47, 7 June 2024
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...
4 KB (398 words) - 03:05, 31 October 2024
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...
10 KB (1,541 words) - 13:32, 20 November 2023
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...
3 KB (429 words) - 13:56, 29 October 2023
Soliton (redirect from Soliton wave)
In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is strongly stable, in that it preserves its shape...
41 KB (4,513 words) - 01:52, 20 May 2025
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...
41 KB (6,673 words) - 17:04, 23 May 2025
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...
20 KB (2,513 words) - 05:30, 25 October 2024
This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology. Some authors use the term nonlinear science...
21 KB (2,645 words) - 22:34, 20 April 2025
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...
49 KB (5,476 words) - 20:09, 29 March 2025
Wavelength (redirect from Wave length)
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...
36 KB (4,299 words) - 20:17, 15 May 2025
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...
13 KB (1,839 words) - 23:03, 15 May 2025
of sound wave produced by constructive interference. Unlike solitons (another kind of nonlinear wave), the energy and speed of a shock wave alone dissipates...
31 KB (3,970 words) - 11:24, 3 June 2025
Look up nonlinear or nonlinearity in Wiktionary, the free dictionary. Nonlinearity is a property of mathematical functions or data that cannot be graphed...
3 KB (503 words) - 05:53, 8 May 2024
mathematics expert working in homotopy analysis method (HAM), nonlinear waves, nonlinear dynamics, and applied mathematics. He was born in Wuhan, Hubei...
1 KB (65 words) - 13:32, 17 August 2024
infragravity waves, which are due to subharmonic nonlinear wave interaction with the wind waves, have periods longer than the accompanying wind-generated waves. In...
18 KB (2,568 words) - 22:40, 1 May 2025
Electromagnetic radiation (redirect from Electromagnetic wave)
In physics, electromagnetic radiation (EMR) is a self-propagating wave of the electromagnetic field that carries momentum and radiant energy through space...
85 KB (10,023 words) - 00:11, 25 May 2025
In continuum mechanics, wave turbulence is a set of nonlinear waves deviated far from thermal equilibrium. Such a state is usually accompanied by dissipation...
7 KB (798 words) - 15:44, 18 June 2024
travelling wave; by contrast, a pair of superimposed periodic waves traveling in opposite directions makes a standing wave. In a standing wave, the amplitude...
61 KB (7,810 words) - 14:42, 3 June 2025
Mild-slope equation (category Water waves)
the effects of, for instance: wave–current interaction, wave nonlinearity, steeper sea-bed slopes, bed friction and wave breaking. Also parabolic approximations...
25 KB (4,171 words) - 02:35, 2 June 2025
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...
36 KB (4,538 words) - 09:53, 12 May 2025
Second-harmonic generation (category Nonlinear optics)
generation (SHG), also known as frequency doubling, is the lowest-order wave-wave nonlinear interaction that occurs in various systems, including optical, radio...
51 KB (6,845 words) - 20:06, 25 May 2025
desalination, or pumping water. A machine that exploits wave power is a wave energy converter (WEC). Waves are generated primarily by wind passing over the sea's...
57 KB (6,348 words) - 21:13, 22 May 2025
Trochoidal wave Tsunami megatsunami Undertow Ursell number Wave action Wave base Wave height Wave nonlinearity Wave power Wave radar Wave setup Wave shoaling...
1 KB (119 words) - 04:11, 28 May 2025
ramp above the fair weather wave base, the middle ramp, above the storm wave base, the outer ramp, below the storm wave base. In distally steepened ramps...
36 KB (4,196 words) - 05:42, 2 June 2025
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...
47 KB (6,566 words) - 05:17, 22 February 2025
In nonlinear systems, the three-wave equations, sometimes called the three-wave resonant interaction equations or triad resonances, describe small-amplitude...
13 KB (1,752 words) - 01:20, 4 June 2025