= Dispersive partial differential equation
{wiki=Dispersive_partial_differential_equation}
A dispersive partial differential equation (PDE) is a type of equation that describes how wave-like phenomena propagate in a medium, where the speed of the wave varies with frequency. This characteristic of dispersive equations leads to the phenomenon of dispersion, where different frequency components of a signal or wave travel at different speeds, causing a spreading or distortion of the wave packet over time. Mathematically, dispersive PDEs can be expressed in various forms, depending on the context or physical phenomenon being modeled.
Back to article page