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We are concerned with the Cauchy problem for the KdV equation for nonsmoothlocally integrable initial profiles q's which are, in a certain sense,essentially bounded from below andq(x)=O(e^{-cx^{{\epsilon}}}),x\rightarrow+\infty, with some positive c and{\epsilon}. Using the inverse scattering transform, we show that the KdV flowturns such initial data into a function which is (1) meromorphic (in the spacevariable) on the whole complex plane if {\epsilon}>1/2, (2) meromorphic on astrip around the real line if {\epsilon}=1/2, and (3) Gevrey regular if{\epsilon}<1/2. Note that q's need not have any decay or pattern of behavior at-\infty.

Spatial Analyticity of solutions to integrable systems. I. The KdV case