Analyzing multiplicative noise effects on stochastic dynamical ?4 equation using the new extended direct algebraic method

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dc.authoridKanan, Mohammad/0000-0003-0526-0015
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.contributor.authorManzoor, Zuha
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorOmer, Nader
dc.contributor.authorZakarya, Mohammed
dc.contributor.authorKanan, Mohammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorHussain, Shabbir
dc.date.accessioned2024-12-24T19:25:19Z
dc.date.available2024-12-24T19:25:19Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe 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.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University; [RGP. 2/135/44]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups Project under grant number RGP. 2/135/44.
dc.identifier.doi10.1016/j.aej.2024.04.011
dc.identifier.endpage203
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85190514515
dc.identifier.scopusqualityQ1
dc.identifier.startpage185
dc.identifier.urihttps://doi.org/10.1016/j.aej.2024.04.011
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6342
dc.identifier.volume97
dc.identifier.wosWOS:001233267300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subject(3 + 1) dimensional stochastic dynamical phi(4) equation
dc.subjectStochastic traveling wave solutions
dc.subjectNew extended direct algebraic method
dc.subjectMultiplicative
dc.titleAnalyzing multiplicative noise effects on stochastic dynamical ?4 equation using the new extended direct algebraic method
dc.typeArticle

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