Generalized extended (2+1)-dimensional Kadomtsev-Petviashvili equation in fluid dynamics: analytical solutions, sensitivity and stability analysis

This study discusses a new version of the ( 2 + 1 ) -dimensional Kadomtsev-Petviashvili equation. This equation is used to model the behavior of nonlinear waves in various fields like ferromagnetic media, ion-acoustic waves in plasma physics, and fluid dynamics. It is instrumental in modeling surfac...

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Veröffentlicht in:Nonlinear dynamics Jg. 112; H. 15; S. 13393 - 13408
Hauptverfasser: Demirbilek, Ulviye, Nadeem, Muhammad, Çelik, Furkan Muzaffer, Bulut, Hasan, Şenol, Mehmet
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht Springer Netherlands 01.08.2024
Springer Nature B.V
Schlagworte:
Acoustic waves
Automotive Engineering
Behavior
Classical Mechanics
Control
Dynamical Systems
Engineering
Exact solutions
Ferromagnetism
Fluid dynamics
Internal waves
Mathematical analysis
Mathematics
Mechanical Engineering
Methods
Ordinary differential equations
Physical properties
Physics
Plasma physics
Quantum field theory
Sensitivity analysis
Stability analysis
Vibration
Exact traveling wave solutions
Modified extended tanh-function method
Nonlinear wave equation
Modified generalized Kudryashov method
ISSN:0924-090X, 1573-269X
Online-Zugang:Volltext
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Zusammenfassung:This study discusses a new version of the ( 2 + 1 ) -dimensional Kadomtsev-Petviashvili equation. This equation is used to model the behavior of nonlinear waves in various fields like ferromagnetic media, ion-acoustic waves in plasma physics, and fluid dynamics. It is instrumental in modeling surface and internal waves in straits or channels. The main goal of the research is to determine the exact solutions for this equation and analyze their physical characteristics. We obtain exact solutions using two improved techniques, namely the modified extended tanh-function and the modified generalized Kudryashov methods. These techniques investigate various exact solutions, such as exponential, rational, hyperbolic, and trigonometric. Besides, the sensitivity and the stability analysis of the model are presented. Additionally, three- and two-dimensional contour plots are created to present the physical behavior of the exact solutions.
Bibliographie:ObjectType-Article-1
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-024-09724-3