Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods-Reference-Cited by-同舟云学术

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

Published:2024 Issue:4 Volume:9 Page:8749-8767
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Bhan Chander¹,Karwasra Ravi¹,Malik Sandeep¹,Kumar Sachin¹,Arnous Ahmed H.²,Shah Nehad Ali³,Chung Jae Dong³

Affiliation:

1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, Punjab 151401, India

2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy 11837, Cairo, Egypt

3. Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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