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