Puneet Varma (Editor)

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

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

    Dispersive partial differential equation Wikipedia
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