RingShaped QuasiSoliton Solutions to the Two and ThreeDimensional SineGordon Equation
Abstract
Ringshaped solitary wave solutions to the SineGordon 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 nonsymmetric threedimensional case is given.
 Publication:

Physica Scripta
 Pub Date:
 October 1979
 DOI:
 10.1088/00318949/20/34/032
 Bibcode:
 1979PhyS...20..531C
 Keywords:

 Ring Structures;
 Solitary Waves;
 Wave Equations;
 Wave Propagation;
 Collision Parameters;
 KleinGordon Equation;
 Reflected Waves;
 Trajectory Analysis;
 Transformations (Mathematics);
 Physics (General)