Numerical study of 2+1 dimensional sine-Gordon solitons

Abstract Numerical studies of the dynamics of sine-Gordon solitons in two spatial dimensions are presented. New results like 4π-break up, “soliton-on-soliton effect”, and scattering at a circular inhomogeneity for line solitons on large-area Josephson junctions are reported. For elliptic ring solitons we find oscillating eccentricity between the major axes in the pulson phase. Colliding non-concentric ring solitons are shown to form larger oval ring solitons or to repel each other. This new effect is qualitatively explained in terms of the 4π-break up for line solitons.

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