Erratum to: Dust-acoustic solitary and rogue waves in a Thomas-Fermi degenerate dusty plasma

Abstract

In our original paper (Irfan et al. 2014), we have found that the KdV based nonlinear Schrodinger (NLS) equation does not satisfy the criteria of modulational instability (i.e., PQ > 0) and the existence of rogue waves, where P and Q are the dispersion and nonlinearity coefficients of NLSE. We therefore have made a remedy correction for this situation in this erratum and applied a well-known multiscale reductive perturbation method (Moslem et al. 2011) to fluid equations of Irfan et al. (2014), analyzing the rogue waves in a Thomas-Fermi dusty plasma. In the previous literature (El-Labany et al. 2012; Rahman et al. 2013; Rahman and Ali 2014; El-Awady and Moslem 2011; ElAwady et al. 2014; Panwar et al. 2013; Panwar and Ryu 2014; Bains et al. 2014 etc.), it was shown that the KdV based NLS Equation holds the condition PQ > 0 for the existence of rogue waves. However, it is later on realized (El-Tantawy and Moslem 2014) that the KdV based NLS equation does not admit the rogue waves, for which the product PQ < 0 holds. Thus, to use a multiscale reductive perturbation method, we consider the expansion S = S0 + ∑∞n=1 e ∑l=∞ l=−∞ S (n) l (ζ, τ ) exp(ilΘ) for dependent variables and the stretching ζ = e(r − Vgt), and τ =