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

[math]\displaystyle{ u_t+uu_x+Hu_{xx}=0 }[/math]

where H is the Hilbert transform.

It possesses infinitely many conserved densities and symmetries; thus it is a completely integrable system.[1]

See also

References

  1. A two-parameter Miura transformation of the Benjamin-Ono equation, T.L. Bock, M.D. Kruskal, Physics Letters A, Volume 74, Issues 3–4, 12 November 1979, Pages 173-176.

Sources

External links