  We study the distribution of dark matter in the nonlinear regime in a model
in which the primordial fluctuations include, in addition to the dominant
primordial Gaussian fluctuations generated by the standard $\Lambda CDM$
cosmological model, the effects of a cosmic string wake set up at the time of
equal matter and radiation, making use of cosmological $N$-body simulations. At
early times the string wake leads to a planar overdensity of dark matter. We
study how this non-Gaussian pattern of a cosmic string wake evolves in the
presence of the Gaussian perturbations, making use of wavelet and ridgelet-like
statistics specifically designed to extract string wake signals. At late times
the Gaussian fluctuations disrupt the string wake. We find that for a string
tension of $G \mu = 10^{-7}$, a value just below the current observational
limit, the effects of a string wake can be identified in the dark matter
distribution, using the current level of the statistical analysis, down to a
redshift of $z = 10$.
