= 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.
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