Wave-type Solutions in the Nonlinear $σ$-model with the Dilaton

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We study a class of classical dilaton vacua in string theory that depend on the light-cone variable $z=t\pm x$ and, thus, have wavelike behavior. One of the interesting results is the existence of a solution subclass with perfectly regular space-time geometry, where the string coupling constant can be made arbitrarily small.
7 pages LaTeX, preprint ITP-SB-93-08 [[ one very important reference added ]]

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