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This paper investigates strong nonlinear coupling that comes into play between cavitation bubbles as a result of their individual oscillatory behavior in a strong acoustic field. Such a nonlinearity may play a significant role in the evolution of a bubble and the way it affects other bubbles in its neighborhood. Sometimes, the nonlinearity may also drive the bubble system to a chaotic regime, hence making the system deterministic yet inherently unpredictable. Ironically, nonlinearity has often been ignored in scientific studies due to the complexity that it introduces in the theory and the numerical solution. The mutual nonlinear coupling in the simplest case of two cavitation bubbles is studied using the Keller-Miksis equation (KME). The governing KME is solved numerically assuming spherical symmetry and coupling of the bubble oscillations. Also, the role of initial conditions is examined in sufficient detail to explore the additional aspects of bubble dynamics. Further, a comparison is made with the case when nonlinearity is ignored. Furthermore, it is found that the secondary Bjerknes force differs significantly from the predictions when nonlinearity is ignored. It is believed that these results may have implications in industries where the phenomena of acoustic cavitation, bubble cloud dynamics, and sonoluminescence are encountered.
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