AbstractBy using the reductive perturbation technique, the soliton solution of an ion‐acoustic wave radially ingoing in a spherically bounded plasma consisting of ions and ion‐beams with multiple electron temperatures is obtained. In sequel to the earlier investigations, the solitary waves are studied as usual through the derivation of a modified Korteweg‐de Vries (K‐dV) equation in different plasma models arising due to the variation of the isothermality of the plasmas. The characteristics of the solitons are finally compared with those of the planar and the cylindrical s