  We study Lunin-Maldacena deformations of cosmological backgrounds of D=11
supergravity which gives an easy way to generate solutions with nonzero 4-form
flux starting from solutions of pure Einstein equations which possess at least
three U(1) isometries. We illustrate this on the vacuum S-brane solution from
which the usual SM2-brane solution is obtained. Applying the method again, one
either gets the recently found S-brane system where contribution of the
Chern-Simons term to field equations is non-zero or the SM2-SM2(0)
intersection, depending on which U(1) directions are used during the process.
Repeated usage of the procedure gives rise to configurations with several
overlapping S-branes some of which are new. We also employ this method to
construct two more new solutions and make comments about accelerating
cosmologies that follow from such deformed solutions after compactification to
(1+3)-dimensions.
