“…Bubble dynamics is widely existing in contemporary science and technology (e.g. cavitation erosion in hydraulic machinery [1] , [2] , underwater explosion [3] , [4] , [5] , biomedical applications [6] , [7] , [8] , [9] , [10] , [11] , ultrasonic cleaning [12] , [13] , [14] , [15] and sonochemistry [16] , [17] , [18] , [19] ). The violent expansion and collapse of bubbles play an important role in the applications of bubble dynamics.…”