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词条 Dispersive partial differential equation
释义

  1. Examples

     Linear equations  Nonlinear equations 

  2. See also

  3. External links

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)

External links

  • The [https://web.archive.org/web/20060812140140/http://tosio.math.toronto.edu/wiki/index.php/Main_Page Dispersive PDE Wiki].
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2 : Partial differential equations|Nonlinear systems

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