<p>The study explores the nonlinear dynamics of a magnetized plasma system characterized by two types of electrons following a Cairns distribution, alongside warm ions and an electron beam. By employing the reductive perturbation technique (RPT), the governing nonlinear differential equation for this system has been established. The presence of the electron beam emerges as a distinctive factor that significantly influences wave propagation within the plasma environment. Findings indicate that soliton waves traversing this plasma medium undergo alterations in their amplitude, phase velocity, and nonlinear coefficient due to the electron beam’s influence. Furthermore, the results suggest that the electron number density of the beam can be manipulated to control the propagation of ion acoustic wave (IAWs) in plasmas, highlighting potential applications in plasma-laser interactions.</p>