Gravitational wave solutions in string and M-theory AdS backgrounds

In this paper, we present several gravitational wave solutions in AdS5×S5 string backgrounds, as well as in AdS7×S4 and AdS4×S7 backgrounds in M theory, generalizing the results of Phys. Lett. B 594, 368 (2004).PYLBAJ0370-269310.1016/j.physletb.2004.05.036. In each case, we present the general form of such solutions and give explicit examples, preserving certain amount of supersymmetry, by taking limits on known Bogomol'nyi-Prasad-Sommerfield D3 and M2, M5-brane solutions in pp-wave backgrounds. A key feature of our examples is the possibility of a wider variety of wave profiles, than in pure gravity and string/M-theory examples known earlier, coming from the presence of various p-form field strengths appearing in the gravitational wave structure.