Benjamin–Ono equation

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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 Benjamin (1967) and Ono (1975).

The Benjamin–Ono equation is

$u_{t}+uu_{x}+Hu_{{xx}}=0$

where H is the Hilbert transform.

References

T. B. Benjamin, Internal waves of permanent form in fluids of great depth, J. Fluid Mech. 29 (1967), 559-562.
H. Ono, Algebraic solitary waves in stratified fluids, J. Phys.Soc. Japan 39 (1975), 1082-1091.

External links

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