• Source: Dispersive partial differential equation

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.

Kata Kunci Pencarian:

• Persamaan gelombang
• Terence Tao
• Partial differential equation
• Dispersive partial differential equation
• Nonlinear partial differential equation
• Breather
• List of nonlinear partial differential equations
• Analysis of partial differential equations
• Maxwell's equations
• Wave equation
• Korteweg–De Vries equation
• Dispersive