Solitary Wave Solution of Korteweg–De Vries Equation by Double Laplace Transform with Decomposition Method

In this work, we investigate electron-acoustic solitary waves (EASWs) in superthermal plasma with kappa distribution of electrons. We applied reduction perturbation method and obtain the KdV model from magnetohydrodynamics fluid equations. Double Laplace transform with decomposition technique (DLDM) is used to investigate and analyze the approximate solution of the Korteweg-De Vries (KdV) model equation. The effect of different parameters on EAWs profile are investigated, illustrated graphically and discussed. We observed that amplitude and width of the wave profile decreasing regularly with increase in hot to cold electron ratio parameter while it is increasing against enhancing wave speed, kappa distribution, and wave phase parameters. We also analyzed that the present technique DLDM is more valuable and gives good accuracy of EAWs solution when compared with previously applied homotopy perturbation method solutions.