The authors consider a low density of positive charge carriers (holes on oxygen ions) interacting with magnetic degrees of freedom (spins on copper ions) in a single CuO₂ plane, assumed to be antiferromagnetic and electrically insulating. Analysing the interaction of a single hole with the spins, they find it to be a strongly coupled nontopological soliton carrying spin 1/2. Various energies, spin correlations and overlap parameters are calculated and tabulated. Pairs of solitons are determined to be weakly coupled; hence they conclude bi-solitons to be an improbable species.