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

Dispersion (optics) Dispersion (water waves) Dispersionless equation

References

External links

The Dispersive PDE Wiki.