Simulation Studies on the Dissipative Modified Kawahara Solitons in a Complex Plasma

In this work, a damped modified Kawahara equation (mKE) with cubic nonlinearity and two dispersion terms including the third- fifth-order derivatives is analyzed. We employ an effective semi-analytical method to achieve goal set for study. For purpose, ansatz implemented find some approximate solutions mKE. Based on proposed method, different formulas analytical symmetric approximations are formally obtained. The derived could be utilized studying all traveling waves described by mKE, such as solitary (SWs), shock waves, cnoidal etc. Moreover, energy of dressed solitons derived. Furthermore, obtained used dynamics dissipative (modified (mK)) dust-ion acoustic (DIA) in unmagnetized collisional superthermal plasma consisting inertia-less electrons inertial cold ions well immobile negative dust grains. Numerically, impact parameter that arises result taking ion-neutral collisions into account electron spectral index profile structures examined. Finally, numerical using finite difference (FDM) compared order confirm high accuracy approximations. achieved results contribute explaining mystery several nonlinear phenomena arise physics, optics, shallow water oceans, seas, so on.