Ceesay, BaboucarrBaber, Muhammad ZafarullahAhmed, NaumanAkgül, AliCordero Barbero, AliciaTorregrosa Sánchez, Juan Ramón2024-06-062024-06-062023-09https://riunet.upv.es/handle/10251/204788[EN] This paper investigates the ion-acoustic wave structures in fluid ions for the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation. The various types of wave structures are extracted including the three-wave hypothesis, breather wave, lump periodic, mixed-type wave, periodic cross-kink, cross-kink rational wave, M-shaped rational wave, M-shaped rational wave solution with one kink wave, and M-shaped rational wave with two kink wave solutions. The Hirota bilinear transformation is a powerful tool that allows us to accurately find solutions and predict the behaviour of these wave structures. Through our analysis, we gain a better understanding of the complex dynamics of ion-acoustic waves and their potential applications in various fields. Moreover, our findings contribute to the ongoing research in plasma physics that utilize ion-acoustic wave phenomena. To show the physical behaviour of the solutions, some 3D plots and their respective contour level are shown, choosing different values of the parameters.Reconocimiento (by)BBMPB equationHirota's bilinear transformationIon-acoustic wave structuresMATEMATICA APLICADAArtículo10.3390/sym15091682Abierto2073-8994