Analysis of solitons structure of the damped KdV equation arising in superthermal plasmas: Application of homotopy analysis method

The aim of the proposed work is to analyze soliton structures dust-ion acoustic waves obtained in framework Korteg-de Vries (KdV) equation with presence a damping term. concept electron solitary wave an unmagnetized plasma consisting superthermal electrons has been taken into consideration. KdV term derived help reductive perturbation technique and solved by using well-known homotopy analysis method. considered method approximates all problems straightforward simplified manner. computes series solution efficiently provides simple way ensure its convergence. approximate analytical from present compared available results literature for different choice pertinent parameters. upshots specified that amplitude increases increasing values parameter. This study would demonstrate potential effectiveness evaluate various kinds nonlinear equations arising theory.