Modelling the Symmetric Wave Structures of the Ion-Acoustic for the BBMPB Equation in the Fluid Ions Using Hirota Bilinear Technique

Baboucarr Ceesay; Muhammad Zafarullah Baber; Nauman Ahmed; Ali Akgül; Alicia Cordero; Juan R. Torregrosa

doi:10.20944/preprints202308.1241.v1

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preprints.org > computer science and mathematics > computational mathematics > doi: 10.20944/preprints202308.1241.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Modelling the Symmetric Wave Structures of the Ion-Acoustic for the BBMPB Equation in the Fluid Ions Using Hirota Bilinear Technique

Baboucarr Ceesay

Muhammad Zafarullah Baber

Version 1 : Received: 16 August 2023 / Approved: 16 August 2023 / Online: 17 August 2023 (09:07:16 CEST)

A peer-reviewed article of this Preprint also exists.

Ceesay, B.; Baber, M.Z.; Ahmed, N.; Akgül, A.; Cordero, A.; Torregrosa, J.R. Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota’s Bilinear Technique. Symmetry 2023, 15, 1682. Ceesay, B.; Baber, M.Z.; Ahmed, N.; Akgül, A.; Cordero, A.; Torregrosa, J.R. Modelling Symmetric Ion-Acoustic Wave Structures for the BBMPB Equation in Fluid Ions Using Hirota’s Bilinear Technique. Symmetry 2023, 15, 1682.

Abstract

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 solutions and predict the behavior 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 behavior of the solutions, some 3D plots have been performed and their respective contour level, choosing different values of the parameters.

Keywords

BBMPB equation; Hirota Bilinear transformation; ion-acoustic wave structures

Subject

Computer Science and Mathematics, Computational Mathematics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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