Evolution of initial pulse

The Klein-Gordon equations and initial conditions are specified according to:


The dispersion relation:


We note that the phase and group velocity increase and decrease with the wavelength, respectively.

The stationary phase solution for large x and t becomes


Click for details on the application of stationary phase for this case.
A set of slides presenting some key results.

Animation:

 Black: accurate numerical solution.
Green: stationary phase approximation.
Author of page: Geir Pedersen <geirkp@math.uio.no>