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- Cnoidal_wave abstract "In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves. They are used to describe surface gravity waves of fairly long wavelength, as compared to the water depth.The cnoidal wave solutions were derived by Korteweg and de Vries, in their 1895 paper in which they also propose their dispersive long-wave equation, now known as the Korteweg–de Vries equation. In the limit of infinite wavelength, the cnoidal wave becomes a solitary wave.The Benjamin–Bona–Mahony equation has improved short-wavelength behaviour, as compared to the Korteweg–de Vries equation, and is another uni-directional wave equation with cnoidal wave solutions. Further, since the Korteweg–de Vries equation is an approximation to the Boussinesq equations for the case of one-way wave propagation, cnoidal waves are approximate solutions to the Boussinesq equations.Cnoidal wave solutions can appear in other applications than surface gravity waves as well, for instance to describe ion acoustic waves in plasma physics.".
- Cnoidal_wave thumbnail Periodic_waves_in_shallow_water.jpg?width=300.
- Cnoidal_wave wikiPageExternalLink 109840.
- Cnoidal_wave wikiPageExternalLink SurfaceWaves.
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- Cnoidal_wave title "Details of the derivation".
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- Cnoidal_wave subject Category:Fluid_dynamics.
- Cnoidal_wave subject Category:Water_waves.
- Cnoidal_wave type Abstraction100002137.
- Cnoidal_wave type Event100029378.
- Cnoidal_wave type Happening107283608.
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- Cnoidal_wave type PsychologicalFeature100023100.
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- Cnoidal_wave type Wave107352190.
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- Cnoidal_wave comment "In fluid dynamics, a cnoidal wave is a nonlinear and exact periodic wave solution of the Korteweg–de Vries equation. These solutions are in terms of the Jacobi elliptic function cn, which is why they are coined cnoidal waves.".
- Cnoidal_wave label "Cnoidal wave".
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- Cnoidal_wave depiction Periodic_waves_in_shallow_water.jpg.
- Cnoidal_wave isPrimaryTopicOf Cnoidal_wave.