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A Multi-Phase Transport (AMPT) model is used to study the efficacy ofshape-engineered events to delineate the degree of coupling between the linearand nonlinear contributions to the higher-order flow harmonics $v_{4}$ and$v_{5}$. The study shows that the nonlinear contributions are stronglyshape-dependent while the linear contributions are shape-independent,indicating little if any, coupling between the linear and nonlinear flowcoefficients. The experimental verification of such patterns could be aninvaluable tool for robust extraction of the linear and mode-coupled flowcoefficients, especially for beam energies where the charged particlemultiplicity and the event statistics precludes the use of current methods toestablish the coupling strength.

A method to test the coupling strength of the linear and nonlinear contributions to higher-order flow harmonics via Event Shape Engineering