The linear and nonlinear properties of high-frequency electron-acoustic (EA) solitons are investigated in multi-component dissipative plasma with a cold beam electron fluid, the Schamel-kappa distributed hot trapped electrons, and stationary ions. The linear phase speed is found to be modified significantly due to variations in dissipative, superthermality, and beam speed parameters. The impact of dissipation (cold electron-to-neutrals collisions) and superthermality on the characteristics of electron acoustics waves (EAWs) is elaborated. The multiple scale expansion method is employed to derive time-varying Schamel equation for small-amplitude electrostatic potential disturbances, carrying dissipative processes as well. The variations in superthermality, and beam speed parameters have been found to strongly impact the profiles of dissipative solitons obtained through numerical time evolution of Schamel equation. The significance of the work lies in the fact that positive potential electron acoustic solitons are sustained, which correspond to holes (or humps) in the cold (hot) electron number density. As trapping is a nonlinear phenomenon, so its impact on these solitary dissipative structures have also been highlighted with suitable application parameters. This study should be beneficial for understanding nonlinear structures reported in the dayside auroral zone and other regions of the magnetosphere.