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This paper considers the Westervelt equation, one of the most widely usedmodels in nonlinear acoustics, and seeks to recover two spatially-dependentparameters of physical importance from time-trace boundary measurements.Specifically, these are the nonlinearity parameter $\kappa(x)$ often referredto as $B/A$ in the acoustics literature and the wave speed $c_0(x)$. Thedetermination of the spatial change in these quantities can be used as a meansof imaging. We consider identifiability from one or two boundary measurementsas relevant in these applications. For a reformulation of the problem in termsof the squared slowness $\mathfrak{s}=1/c_0^2$ and the combined coefficient$\eta=\frac{B/A+2}{\varrho_0 c_0^4}$ we devise a frozen Newton method and proveits convergence. The effectiveness (and limitations) of this iterative schemeare demonstrated by numerical examples.

On the simultanenous identification of the nonlinearity coefficient and the sound speed in the Westervelt equation