Dispersive partial differential equation
In mathematics, a dispersive partial differential equation or dispersive PDE is a partial differential equation that is dispersive. In this context, dispersion means that waves of different wavelength propagate at different phase velocities.
Examples
Linear equations
- Euler–Bernoulli beam equation with time-dependent loading
- Airy equation
- Schrödinger equation
- Klein–Gordon equation
Nonlinear equations
- nonlinear Schrödinger equation
- Korteweg–de Vries equation (or KdV equation)
- Boussinesq equation (water waves)
- sine–Gordon equation
gollark: The error messages *are* quite helpful.
gollark: Presumably, as long as you are already to magically write perfect C code, you won't run into borrow checking issues.
gollark: Well, the under-18 one here, and apparently most run on similar principles.
gollark: You get a bunch of facts you have to memorize, which are never wrong™.
gollark: The education system as currently extant doesn't really teach critical thinking though.
External links
- The Dispersive PDE Wiki.
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