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词条 Benjamin–Ono equation
释义

  1. See also

  2. References

  3. External links

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

where H is the Hilbert transform.

See also

  • Bretherton equation

References

  • {{citation

| last = Benjamin | first = T. Brooke | authorlink = Brooke Benjamin
| doi = 10.1017/s002211206700103x
| issue = 03
| journal = Journal of Fluid Mechanics
| page = 559
| title = Internal waves of permanent form in fluids of great depth
| volume = 29
| year = 1967}}
  • {{citation

| last = Ono | first = Hiroaki
| doi = 10.1143/JPSJ.39.1082
| issue = 4
| journal = Journal of the Physical Society of Japan
| mr = 0398275
| pages = 1082–1091
| title = Algebraic solitary waves in stratified fluids
| volume = 39
| year = 1975}}

External links

  • Benjamin-Ono equations: Solitons and Shock Waves
  • {{dpde|Benjamin-Ono equation}}
{{DEFAULTSORT:Benjamin-Ono equation}}{{mathapplied-stub}}

2 : Nonlinear partial differential equations|Integrable systems

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