Super rogue waves in ultracold neutral nonextensive plasmas

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 Schrödinger equation (NLSE) using a reductive perturbation technique. The existence region for the rogue waves defined precisely in terms of the critical wavenumber threshold k_c . It is found that increasing the nonextensive parameter q would lead to a decrease of k_c until q approaches to its critical value q_c , then further increase of q beyond q_c enhances k_c ; however, k_c shrinks with the increase of the ions effective temperature ratio σ*. 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_c , the rogue wave amplitude becomes smaller, but it enhances whenever we stepped away from q_c . However, the enhancement of the temperature ratio σ* and the wavenumber k reduces the envelope rogue wave amplitudes.