Dispersive partial differential equation
Jump to navigation
Jump to search
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
[edit | edit source]Linear equations
[edit | edit source]- Euler–Bernoulli beam equation with time-dependent loading
- Airy equation
- Schrödinger equation
- Klein–Gordon equation
Nonlinear equations
[edit | edit source]- nonlinear Schrödinger equation
- Korteweg–de Vries equation (or KdV equation)
- Boussinesq equation (water waves)
- sine–Gordon equation
See also
[edit | edit source]References
[edit | edit source]- Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
External links
[edit | edit source]- The Dispersive PDE Wiki.
