Benjamin–Ono equation

In mathematics, the Benjamin–Ono equation is a nonlinear partial integro-differential equation that describes one-dimensional internal waves in deep water. It was introduced by Template:Harvtxt and Template:Harvtxt.

The Benjamin–Ono equation is

$u_t+u{u}_x+H{u}_{xx}=0$

where H is the Hilbert transform.

It possesses infinitely many conserved densities and symmetries; thus it is a completely integrable system.

See also

• Bretherton equation

Sources

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External links

• Benjamin-Ono equations: Solitons and Shock Waves

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