With the use of Maple animation tools the solutions are visualized in frame of the elastic ribbon model. The basic properties of solitons, like propagation and interaction without change in their velocity and shape, make it possible to treat them as the robust localized objects.
Solitons show their duality, having both the properties of particles and waves.
That is why the solitons are often spoken of as quasiparticles. It is known that for solitons in a completely integrable system there exist an infinitely large number of conservation laws. There exist several physical interpretations of the sine-Gordon equation, therefore this charge will be called here the topological charge, without specification for a particular model. Elastic Ribbon Model Let us twist one end of the elastic ribbon with respect to another through angle 2 . As a result of this operation a twist, which can propagate along the ribbon, will be formed Ref.