  We propose a novel approach to manipulate two-dimensional bright matter-wave
solitons by tuning the frequency of the trap which is different from Feshbach
resonance technique. The exact bright soliton solutions for two-dimensional
Gross-Pitaevskii (GP) equation with attractive interaction strength in a
time-dependent trap are constructed analytically and its dynamics show no
collapse while modulating the trap frequency. The two-soliton dynamics exhibits
an interesting splitting and recombination phenomenon which generates
interference pattern in the process. This type of behaviour in two-dimensional
BECs has wider ramifications and our approach opens new avenues in stabilizing
bright solitons in higher dimensional regime. We have also explored the
experimental realization of this novel phenomenon.
