Concept information
Preferred term
Korteweg-de Vries equation
Definition
- In mathematics, the Korteweg–De Vries (KdV) equation is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non-linear partial differential equation whose solutions can be exactly and precisely specified. KdV can be solved by means of the inverse scattering transform. The mathematical theory behind the KdV equation is a topic of active research. The KdV equation was first introduced by Boussinesq (1877, footnote on page 360) and rediscovered by Diederik Korteweg and Gustav de Vries (1895). (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Korteweg%E2%80%93De_Vries_equation)
Broader concept
Synonym(s)
- kdV equation
In other languages
URI
http://data.loterre.fr/ark:/67375/MDL-QJSVV4QG-N
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