Abstract
A geometrical approach in the nonsymmetric connection framework is employed to examine the issue of higher order ${\ensuremath{\alpha}}^{\ensuremath{'}}$ corrections to $D=10$ type IIB superstring backgrounds with a covariantly constant null Killing isometry and nonzero Ramond-Ramond field content. These describe generalized supersymmetric string waves and were obtained recently by us through the $S$-duality transformations of purely NS-NS plane wave backgrounds. We find that the backgrounds are exact, subject to the existence of certain field redefinitions and provided certain restrictive conditions are satisfied.
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