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
See also[]
External links[]
- The Dispersive PDE Wiki.
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- Partial differential equations
- Nonlinear systems