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

• Dispersion (optics)

• Dispersion (water waves)

• Dispersionless equation

References

External links

• The Dispersive PDE Wiki.