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 Erdoğan, M. Burak; Tzirakis, Nikolaos (2016). Dispersive Partial Differential Equations. Cambridge: Cambridge University Press. ISBN 978-1-107-14904-5.
External links The Dispersive PDE Wiki.