Movies
of an Optical Vortex in a Liquid Crystal Hitting the Cell Wall and
Becoming Unstable

Movies of Beam Merging in a Nematic Liquid Crystal

Four nonlinear beams in a nematic liquid
crystal interact. They merge, resulting in an optical
vortex. The evolution of
the beams is mathematically related to the interaction of four
gravitating bodies in Newtonian gravitation. The difference is
that in Newtonian gravitation the masses do not merge!

Movies of Nematicon (Solitary Wave) Bouncing Around in a Liquid Crystal Cell

Bouncing nematicon

Movies for Soliton Evolution for Two-Dimensional Sine-Gordon Equation

The Sine-Gordon equation is a nonlinear
wave equation which has
soliton solutions. It arises in laser optics and particle physics
in the Skyrme model.

Evolution of 2D Breather for the Sine-Gordon Equation

Movie
of Soliton Evolution on the Surface of a Nano-Conductor

The high electron density on
the surface of a nano-conductor can lead to the phenomenon of
electromigration. Electromigration is the bulk movement of
conducting material due to the electrons and can lead to undesirable
effects such as short circuits. Mathematically electromigration
can in certain circumstances be described by the Benjamin-Ono
Zakharov-Kutznetsov equation, which has a soliton solution. Under
this approximation, the bulk conducting material moves as a soliton
along the surface of the nano-conductor.

Evolution of a Defect on a Nano-Conductor