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About: Bretherton equation     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatNonlinearPartialDifferentialEquationsyago:Abstraction100002137yago:Communication100033020yago:DifferentialEquation106670521yago:Equation106669864yago:MathematicalStatement106732169yago:Message106598915yago:PartialDifferentialEquation106670866yago:Statement106722453 New Facet based on Instances of this Class

In mathematics, the Bretherton equation is a nonlinear partial differential equation introduced by Francis Bretherton in 1964: with integer and While and denote partial derivatives of the scalar field The original equation studied by Bretherton has quadratic nonlinearity, Nayfeh treats the case with two different methods: Whitham's averaged Lagrangian method and the method of multiple scales.