Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods
Copyright policy )Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods
<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>
- El Shorouk Academy Egypt
- Sejong University Korea (Republic of)
- Higher Institute of Engineering Egypt
- Central University of Punjab India
Artificial intelligence, Chaotic, bifurcation analysis, chaotic behavior, exact solutions, Periodic Wave Solutions, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, Soliton, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, kadomtsev-petviashvii-benjamin-bona-mahony (kp-bbm) equation, Physics, Statistical and Nonlinear Physics, Applied mathematics, Computer science, generalized arnous method, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Nonlinear system, Bifurcation, Statistical physics, new kudryashov method, Mathematics, Rogue Waves in Nonlinear Systems
Artificial intelligence, Chaotic, bifurcation analysis, chaotic behavior, exact solutions, Periodic Wave Solutions, Quantum mechanics, Discrete Solitons in Nonlinear Photonic Systems, Soliton, QA1-939, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, kadomtsev-petviashvii-benjamin-bona-mahony (kp-bbm) equation, Physics, Statistical and Nonlinear Physics, Applied mathematics, Computer science, generalized arnous method, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Nonlinear system, Bifurcation, Statistical physics, new kudryashov method, Mathematics, Rogue Waves in Nonlinear Systems
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).29 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!