Computer simulation of the sine-Gordon exact solitons and soliton collisions

Анотація

The article is devoted to devising a PC-program product, based on the MAPLE package, for analyzing dynamical properties of many-soliton and soliton-wise exact solutions to nonlinear dynamical systems on functional manifolds. In particular, as an example, there is treated the sine-Gordon nonlinear completely integrable Hamiltonian dynamical system, whose two-dimensional animation and three-dimensional graphic of solitonic collisions are presented.