  The interplay of the chiral anomaly and the strong magnetic field ($\sim$
10$^{15}$ T) created in heavy-ion collisions could give rise to a collective
excitation in the quark--gluon plasma called the Chiral Magnetic Wave (CMW).
This effect can be experimentally sought by the charge asymmetry ($A_{\rm ch}$)
dependence of elliptic flow $v_{2}$. However, non-CMW mechanisms such as local
charge conservation (LCC) coupled with collective flow can also lead to a
similar dependence of $v_{2}$ on $A_{\rm ch}$. The triangular flow ($v_{3}$)
measurement serves as a reference as it is not expected to be affected by the
CMW. The $v_{2}$ and $v_{3}$ of charged hadrons as a function of $A_{\rm ch}$
measured in Pb--Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 and 5.02 TeV are
presented. In addition, the event-shape engineering (ESE) technique is adopted
for the first time to quantitatively disentangle the CMW signal and the LCC
background. The results indicate that the background effects dominate the CMW
measurements.
