Sine Gordon Wave equation

This is a simulation of the Sine Gordon wave equation.

• The Sine button launches a standing sine wave (fixed boundary conditions). Notice that since a sine wave is not a solution to the Sine Gordon equation it does not remain a Sine wave.
• The kink button launches a kink which is a solution to the Sine Gordon equation.
• The Gaussian Pulse button launches a gaussian pulse, which is not a solution to the Sine Gordon equation.
• The collision button launches a kink and anti-kink so that they collide .

As you can see from the simulation, kinks and anti-kinks have particle like properties (in this particular case they stick together- at least until the simulation begines to fail). Kinks and anti-kinks are examples of solitions, non-linear waves that have particle like properties.