Dispersive partial differential equation

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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.

Contents 1 Examples 1.1 Linear equations 1.2 Nonlinear equations 2 See also 3 External links

[edit] Examples

[edit] Linear equations

• Euler-Bernoulli beam equation with time-dependent loading
• Airy equation
• Schrödinger equation
• Klein-Gordon equation

[edit] Nonlinear equations

• nonlinear Schrödinger equation
• Korteweg–de Vries equation or KdV equation
• Boussinesq equation (water waves)
• sine-Gordon equation

[edit] See also

• Dispersion (optics)
• Dispersion (water waves)

[edit] External links

• The Dispersive PDE Wiki.