When the solution to a nonlinear dispersive PDE behaves in the distant future or past like a solution of the corresponding linear PDE, it is said to “scatter”. A commonly investigated question in the study of such PDEs is whether the nonlinearity is uniquely determined by how it scatters solutions. Recently, Killip, Murphy, and Vișan developed a technique based on “deconvolution” to address this question in the case of a nonlinear Schrödinger equation. In contrast to existing approaches, their method is technically simpler and more flexible, and allows for the determination of the nonlinearity under weaker assumptions. In this talk, we will present joint work with Killip and Vișan on adapting this technique to a nonlinear wave equation. No prior knowledge of dispersive PDEs will be assumed.