Ring-shaped solitary wave solutions to the Sine-Gordon equation in two and three spatial dimensions are investigated by numerical computation. Each expanding wave exhibits a return effect. The reflection of the shrinking wave at the singularity at the center of the wave is investigated in a particular case. Collision experiments in numero for expanding and shrinking concentric ring waves show that the solutions possess quasisoliton properties. A Bäcklund transformation for the non-symmetric three-dimensional case is given.
No takes yet. Share an insight, caveat, or question.
Christiansen et al. (1979) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: