Journal of Theoretical and Applied Physics (JTAP) Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas Volume 13, 2019 Issue 3, September and October 2019 2023 11 17 Low relativistic effects on the modulational instability of rogue waves in electronegative plasmas 10.1007/s40094-019-00342-8 EN Chérif S. Panguetna Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun Conrad B. Tabi Laboratoire de Biophysique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana 0000-0001-6505-7866 Timoléon C. Kofané Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana Conrad B. Tabi Laboratoire de Biophysique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, B.P. 812, Yaoundé, Cameroun Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana 0000-0001-6505-7866 Journal Article 2023 11 17 AbstractRelativistic ion-acoustic waves are investigated in an electronegative plasma. The use of the reductive perturbation method summarizes the hydrodynamic model to a nonlinear Schrödinger equation which supports the occurrence of modulational instability (MI). From the MI criterion, we derive a critical value for the relativistic parameter α1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$alpha _{1}$$end{document}, below which MI may develop in the system. The MI analysis is then conducted considering the presence and absence of negative ions, coupled to effects of relativistic parameter and the electron-to-negative ion temperature ratio. Under high values of the latter, additional regions of instability are detected, and their spatial expansion is very sensitive to the change in α1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$alpha _{1}$$end{document} and may support the appearance of rogue waves whose behaviors are discussed. The parametric analysis of super-rogue wave amplitude is performed, where its enhancement is debated relatively to changes in α1documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$alpha _{1}$$end{document}, in the presence and absence of negative ions.