Abstract
The generation of ion-acoustic rogue waves in ultracold neutral plasmas (UNPs) composed of ion fluids and nonextensive electron distribution is investigated. For this purpose, basic equations are reduced to a nonlinear Schrodinger equation (NLSE) using a reductive perturbation technique. The existence region for the rogue waves defined precisely in terms of the critical wavenumber threshold k sub(c) It is found that increasing the nonextensive parameter q would lead to a decrease of k sub(c)until q approaches to its critical value q sub(c) then further increase of q beyond q sub(c)enhances k sub(c) however, k sub(c)shrinks with the increase of the ions effective temperature ratio [sigma]. The dependence of the first- and second-order rational solutions profile on the UNP parameters is numerically examined. It is noticed that near to the critical nonextensive parameter q sub(c) the rogue wave amplitude becomes smaller, but it enhances whenever we stepped away from q sub(c) However, the enhancement of the temperature ratio [sigma] and the wavenumber k reduces the envelope rogue wave amplitudes.