MANY DIMENSIONAL U(1)SOLITONS, THEIR INTERACTIONS, RESONANCES AND BOUND-STATES

Head-on collisions of two-space dimensional U(1) solitons have been studied via computer in the framework ofthe Lorentz-invariant Klein-Gordon equation with a logarithmic non-linearity. Four different regions of parameters of the system (“charge” and velocity) have been found: (1) quasi-elastic soliton interaction (2) post-collisional decay of solitons (3) decay of solitons during resonance (4) bound (oscillating) states of solitons. The secondand the third types of phenomena have been found for the first time and have no analog in one space, one time dimension world. © 1979 IOP Publishing Ltd.