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We have studied the surface acoustic waves (SAWs) transport electrons through a multiple constrictions where a mesoscopic island is placed between the adjacent ones. The electrochemical potential of the island can be modulated by changing the adjacent gate voltages. Then, with the help of the accumulated charge in the island, some peculiar quantized events are observed in the experiments. And a physical model is proposed to explain this quantization, which could help us to understand the mechanism of the acousto-electric current further. In addition, if the SAW dots drive electrons through a static impurity dot which placed at the transport channel, then due to the regulating action by the static impurity dot, the current display fractional plateaus.