Benjamin–Ono equation
From HandWiki
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
- ↑ 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
- "Internal waves of permanent form in fluids of great depth", Journal of Fluid Mechanics 29 (3): 559, 1967, doi:10.1017/s002211206700103x, Bibcode: 1967JFM....29..559B
- Ono, Hiroaki (1975), "Algebraic solitary waves in stratified fluids", Journal of the Physical Society of Japan 39 (4): 1082–1091, doi:10.1143/JPSJ.39.1082, Bibcode: 1975JPSJ...39.1082O
External links
 |  |
