“…The study of rigidly rotating strings in semiclassical approximation in the gravity side has been one of the interesting areas of research in the last few years. In this connection a large number of rotating and pulsating string solutions have been studied in AdS 5 × S 5 , AdS 4 × CP 3 , orbifolded and in the near horizon geometry of certain nonlocal string theory backgrounds, see for example, [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49]. However, more recently, the integrability of the classical string motion in curved pbrane background has been explored in [50] in an attempt to see whether the full string equations of motion is integrable.…”