Deformation of shock waves in the cavity of a cavitation bubble under strong compression is studied. The numerical investigation is carried out on the basis of the model which is a two-dimensional (axially-symmetric) generalization of R.I. Nigmatulin's model of strong compression of a spherical cavitation bubble. Special attention is paid to the effect of initial distortion of the bubble sphericity (the ratio of the amplitude of deflection of the bubble surface from the spherical one to its radius) on deformations of the shock wave at the time of its entering the «hot dense core» (the small central part of the bubble with radius of ~50 nm).
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