Analyzing multiplicative noise effects on stochastic dynamical ?4 equation using the new extended direct algebraic method
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The stochastic dynamical phi(4) equation is obtained by adding a multiplicative noise term to the classical phi(4) equation. The noise term represents the random fluctuations that are present in the system and is modeled by a Wiener process. The stochastic dynamical phi(4) equation is a powerful tool for modeling the behavior of complex systems that exhibit randomness and nonlinearity. It has a wide range of applications in physics, chemistry, biology, and finance. Our goal of this paper is to use the new extended direct algebraic method to find the stochastic traveling wave solutions of the dynamical phi(4) equation. We explore the new trigonometric, hyperbolic, and rational functions using the new extended direct algebraic method. Furthermore, we use Matlab to plot 3D surfaces of exact solutions to show how multiplicative noise affects the solutions to the stochastic dynamical phi(4) equation.
Açıklama
Anahtar Kelimeler
(3 + 1) dimensional stochastic dynamical phi(4) equation, Stochastic traveling wave solutions, New extended direct algebraic method, Multiplicative
Kaynak
Alexandria Engineering Journal
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
97
