Dust–ion–acoustic soliton in an inhomogeneous collisional plasma

Abstract
In inhomogeneous dusty plasmas, the ion–dust collisions are nonuniform because of the dependence of the collision rates on plasma densities and the grain charge. The propagation of dust–ion–acoustic solitons in such dusty plasmas is studied using the reductive perturbation method. It is shown that either compressive or rarefactive solitons can exist depending on whether the ion-to-electron density ratio is greater or less than a critical value. The interplay between the effects of the plasma inhomogeneity and the spatially varying collision rates can result in the amplitude distribution from decrease to increase when the soliton propagates from high to low density regions. Different from the homogeneous case, the velocity and width of the soliton increase with distance instead of following the changes of the amplitude.

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