Nonlinear ion-acoustic solitary waves are studied in a cylindrically bounded plasma consisting of ions and ion beams, along with multiple-temperature electrons, through the derivation of a Korteweg–deVries equation. The interaction of isothermality on the propagation of radially ingoing ion-acoustic waves in various plasmas exerts a drastic modifying effect on the existence and behaviour of the solitons. The results have been compared extensively with those available to date for planar, as well as spherical, solitons.