Dynamical study of groundwater systems using the new auxiliary equation method

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dc.contributor.authorShahid, Naveed
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorShaikh, Tahira Sumbal
dc.contributor.authorIqbal, Gulshan
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAkgul, Ali
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this research, the exact solitary wave solutions to the non-linear problem of underground water levels are found. This study examines the transport of solutes in groundwater systems with variable density flow. The mathematical equation that is used to explain how groundwater moves through an aquifer is known as the groundwater flow equation and is used in hydrogeology. The auxiliary equation method is used to gain the analytical solutions to the underlying model equation. These solutions are gained in the form of hyperbolic, trigonometric, exponential, and rational function solutions. Mathematica generates two-dimensional and threedimensional graphs with suitable parameter values. The resulting solutions are also useful for researching wave interactions in several novel structures.
dc.description.sponsorshipBaque Government [IT1555-22]
dc.description.sponsorshipThe last author would like to thank the Baque Government, Grant IT1555-22.
dc.identifier.doi10.1016/j.rinp.2024.107444
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85187287202
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2024.107444
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6762
dc.identifier.volume58
dc.identifier.wosWOS:001186747800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectExact solutions
dc.subjectNon-linear wave equation
dc.subjectUnderground water equation
dc.subjectNew auxiliary equation
dc.titleDynamical study of groundwater systems using the new auxiliary equation method
dc.typeArticle

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