Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods

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dc.authoridAhmed, Nauman/0000-0003-1742-585X
dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.contributor.authorGhazanfar, Sidra
dc.contributor.authorAhmed, Nauman
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAkgul, Ali
dc.contributor.authorBayram, Mustafa
dc.contributor.authorDe la Sen, Manuel
dc.date.accessioned2024-12-24T19:33:32Z
dc.date.available2024-12-24T19:33:32Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article deals with the study of ultrasound propagation, which propagates the mechanical vibration of the molecules or of the particles of a material. It measures the speed of sound in air. For this reason, the third-order non-linear model of the Westervelt equation was chosen to be studied, as the solutions to such problems have much importance for physical purposes. In this article, we discuss the exact solitary wave solutions of the third-order non-linear model of the Westervelt equation for an acoustic pressure p representing the equation of ultrasound with high intensity, as used in acoustic tomography. Moreover, the non-linear coefficient B / A (being a part of space-dependent coefficient K), has also been investigated in this literature. This problem is solved using the Generalized Kudryashov method along with a comparison of the Modified Kudryashov method. All of the solutions have been discussed with both surface and contour plots, which shows the behavior of the solution. The images are prepared in a well-established way, showing the production of tissues inside the human body.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090]; MCIN/AEI [PID2021-1235430BC21/C22]
dc.description.sponsorshipThe authors are grateful to the Basque Government for its support through Grants IT1555-22 and KK-2022/00090; and to MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430BC21/C22.
dc.identifier.doi10.3390/app122211813
dc.identifier.issn2076-3417
dc.identifier.issue22
dc.identifier.scopus2-s2.0-85142472906
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/app122211813
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8183
dc.identifier.volume12
dc.identifier.wosWOS:000887037200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofApplied Sciences-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectultrasound imaging
dc.subjectsolitary waves
dc.subjectmodified Kudryashov method
dc.subjectgeneralized Kudryashov method
dc.titleImaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
dc.typeArticle

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