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.

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