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 nommiformity 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.
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