Propagation of ion-acoustic solitons in a lossy plasma with density gradients-

It is shown that a certain type of nonuniform media with a relaxation effect can still support exact multisoliton. Through the original Gardner-Morikawa transformation the propagation of a solitary ion-acoustic wave in a plasma with both ion-neutral collisions and density gradients is shown in the Korteweg-de Vries equation with loss and nonuniformity terms. If there exists a certain balancing between them, the corresponding solutions are shown to express solitons damping their amplitude in time, without emitting any oscillatory tails.