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We have found and analysed 16 multi-peaked type-I bursts from theneutron-star low mass X-ray binary 4U 1636$-$53 with the Rossi X-ray TimingExplorer (RXTE). One of the bursts is a rare quadruple-peaked burst which wasnot previously reported. All 16 bursts show a multi-peaked structure not onlyin the X-ray light curves but also in the bolometric light curves. Most of themulti-peaked bursts appear in observations during the transition from the hardto the soft state in the colour-colour diagram. We find an anti-correlationbetween the second peak flux and the separation time between two peaks. We alsofind that in the double-peaked bursts the peak-flux ratio and the temperatureof the thermal component in the pre-burst spectra are correlated. Thisindicates that the double-peaked structure in the light curve of the bursts maybe affected by enhanced accretion rate in the disc, or increased temperature ofthe neutron star.

The study of multi-peaked type-I X-ray bursts in the neutron-star low mass X-ray binary 4U 1636$-$536 with RXTE