“…We consider the wakefiled induced pulse self-modulations within the slow envelope approximation (SEA) [2,21,22,43,44,46,47]. In this regard, it should be mentioned that SEA has been frequently applied to study ultra-short [21,43,44,46,47] and short (longer than plasma wavelength) [21,22] pulse interactions with plasma. Especially, we should mention the more recent work by Schroeder etal [44] on nonlinear evolutions of ultra-short laser pulses in plasma, which our treatment in this section is a generalization of this work to include general pulse lengths (short and ultra-short).…”