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

Author

Bhan, Chander, Karwasra, Ravi, Malik, Sandeep, Kumar, Sachin, Arnous, Ahmed H., Shah, Nehad Ali, and Jae Dong Chung

Subjects
WAVE equation, EQUATIONS, QUANTUM chaos, BIFURCATION theory, SOLITONS, LORENZ equations
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. [ABSTRACT FROM AUTHOR]

Published
2024
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