Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods
dc.contributor.author | Ghazanfar, Sidra | |
dc.contributor.author | Ahmed, Nauman | |
dc.contributor.author | Iqbal, Muhammad Sajid | |
dc.contributor.author | Akgül, Ali | |
dc.contributor.author | Bayram, Mustafa | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2022-11-28T13:31:18Z | |
dc.date.available | 2022-11-28T13:31:18Z | |
dc.date.issued | 2022-11-21 | |
dc.identifier.citation | Applied Sciences 12(22) : (2022) // Article ID 11813 | es_ES |
dc.identifier.issn | 2076-3417 | |
dc.identifier.uri | http://hdl.handle.net/10810/58584 | |
dc.description.abstract | This 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. | es_ES |
dc.description.sponsorship | The 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 PID2021-1235430B-C21/C22. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2021-1235430B-C21/C22 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | ultrasound imaging | es_ES |
dc.subject | solitary waves | es_ES |
dc.subject | modified Kudryashov method | es_ES |
dc.subject | generalized Kudryashov method | es_ES |
dc.title | Imaging Ultrasound Propagation Using the Westervelt Equation by the Generalized Kudryashov and Modified Kudryashov Methods | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2022-11-24T14:43:29Z | |
dc.rights.holder | © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2076-3417/12/22/11813 | es_ES |
dc.identifier.doi | 10.3390/app122211813 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as © 2022 by the authors.Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/ 4.0/).