Benjamin–Ono equation

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 harvtxt|Benjamin|1967 and harvtxt|Ono|1975.

The Benjamin-Ono equation is:u_t+uu_x+Hu_{xx}=0where "H" is the Hilbert transform.

References

*T. 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

*dpde|Benjamin-Ono equation


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