A theoretical study of the phenomenon of unidirectional transport of charged particles by acoustic-type solitons in plasma without the magnetic field is presented. Using a one-dimensional ion-acoustic soliton as an example, it is shown that the transport of charged particles is a fundamental property of classical solitons, which cannot be neglected at small wave amplitudes. The analysis is based on the hydrodynamic model using the Sagdeev pseudopotential and the KdV equation. A brief generalization of the results to electron- and dust-acoustic modes is also discussed.

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