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Research Article | Open Access

Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods

Chander Bhan1, Ravi Karwasra1, Sandeep Malik1, Sachin Kumar1, Ahmed H. Arnous2, Nehad Ali Shah3( ), Jae Dong Chung3
Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab 151401, India
Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy 11837, Cairo, Egypt
Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
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Abstract

This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation. The new Kudryashov and generalized Arnous methods are employed to obtain the generalized solitary wave solution. The phase plane theory examines the bifurcation analysis and illustrates phase portraits. Finally, the external perturbation terms are considered to reveal its chaotic behavior. These findings contribute to a deeper understanding of the dynamics of the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony wave equation and its applications in real-world phenomena.

Keywords

bifurcation analysisnew Kudryashov methodexact solutionsgeneralized Arnous methodKadomtsev-Petviashvii-Benjamin-Bona-Mahony (KP-BBM) equationchaotic behavior
CLC number: 35A09, 35A24, 35C08

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 8749-8767
DOI: 10.3934/math.2024424

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Bhan C, Karwasra R, Malik S, et al. Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods. AIMS Mathematics, 2024, 9(4): 8749-8767. https://doi.org/10.3934/math.2024424

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Received: 26 November 2023
Revised: 08 January 2024
Accepted: 24 January 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)