Publication:
A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws

Simple item page
dc.contributor.authorSeadawy, Aly R.
dc.contributor.buuauthorÇelik, Nisa
dc.contributor.buuauthorSağlam Özkan, Yeşim
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Ana Bilim Dalı
dc.contributor.orcid0000-0002-1364-5137
dc.contributor.researcheridABD-1401-2020
dc.contributor.researcheridG-5333-2017
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid36005160000
dc.contributor.scopusid57193338830
dc.contributor.scopusid23471031300
dc.date.accessioned2024-01-23T11:16:53Z
dc.date.available2024-01-23T11:16:53Z
dc.date.issued2021-02
dc.description.abstractIn this study, we have dealt with a wave equation containing 4th order nonlinear mixed derivative. This model corresponds to solitary waves in nonlinear elastic circular rod. One dimensional optimal systems corresponding to Lie symmetry generator sub-algebras, symmetry reductions, and group invariant solutions corresponding to these systems have been systematically produced by Lie symmetry analysis of this model. In addition, traveling wave solutions were obtained with the help of an useful integration scheme of the model. These solutions are structures with physical properties of hyperbolic, trigonometric and rational solution types. Numerical simulations of the obtained solutions for different values of the parameters were made. The stability property of the obtained solutions is tested to show the ability of obtained solutions. In addition, the local conservation laws of the model were obtained with the help of the multiplier homotopy method. (c) 2020 Elsevier Ltd. All rights reserved.
dc.identifier.citationÇelik, N. vd. (2021). "A model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws". Chaos, Solitons and Fractals, 143.
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2020.110486
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85098451107
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S096007792030878X
dc.identifier.urihttps://hdl.handle.net/11452/39269
dc.identifier.volume143
dc.identifier.wos000620179000003
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.collaborationYurt dışı
dc.relation.journalChaos, Solitons and Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectNonlinear elastic circular rod
dc.subjectExact solutions
dc.subjectConservation laws
dc.subjectAlgebra
dc.subjectNonlinear equations
dc.subjectPhysical properties
dc.subjectStability
dc.subjectGroup invariant solutions
dc.subjectIntegration scheme
dc.subjectLie symmetry analysis
dc.subjectLocal conservation
dc.subjectNonlinear elastics
dc.subjectStability properties
dc.subjectSymmetry reduction
dc.subjectTraveling wave solution
dc.subjectExact solutions
dc.subjectNonlinear elastic circular rod
dc.subject.scopusExact Solution; Optical Solitons; (G′/G)-expansion Method
dc.subject.wosMathematics, Interdisciplinary Applications
dc.subject.wosPhysics, Multidisciplinary
dc.subject.wosPhysics, Mathematical
dc.titleA model of solitary waves in a nonlinear elastic circular rod: Abundant different type exact solutions and conservation laws
dc.typeArticle
dc.wos.quartileQ1
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Ana Bilim Dalı
local.indexed.atScopus
local.indexed.atWOS

Files

License bundle

Now showing 1 - 1 of 1
Placeholder
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

İndeksli Yayınlar / Indexed Publications