Possible nonlinear coupling in surface waves is described at the Texcoco Array (TXC) in Mexico City. Shear-coupled surface waves may be caused by interaction between Rayleigh modes in the basement and resonant shear modes in the uppermost mud layer. Large-amplitude, monochromatic wave trains of long duration appear to be modulated by the fundamental mode of the mud layer. Particle motion features frequent reversals from prograde to retrograde ground motion. Earthquake damage in Mexico City might be related to unrecognized effects related to nonlinear coupling in soft-soil conditions.