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Multiple exp-function method for soliton solutions of nonlinear evolution equations

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dc.contributor.buuauthorYıldırım, Yakup
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentFen Edebiyat Fakültesi
dc.contributor.departmentMatematik Bölümü
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.researcheridAAG-9947-2021
dc.contributor.scopusid56988856400
dc.contributor.scopusid23471031300
dc.date.accessioned2023-01-09T12:37:46Z
dc.date.available2023-01-09T12:37:46Z
dc.date.issued2017-06
dc.description.abstractWe applied the multiple exp-function scheme to the (2+1)-dimensional Sawada-Kotera (SK) equation and (3+1)-dimensional nonlinear evolution equation and analytic particular solutions have been deduced. The analytic particular solutions contain one-soliton, two-soliton, and three-soliton type solutions. With the assistance of Maple, we demonstrated the efficiency and advantages of the procedure that generalizes Hirota's perturbation scheme. The obtained solutions can be used as a benchmark for numerical solutions and describe the physical phenomena behind the model.
dc.identifier.citationYıldırım, Y. ve Yaşar, E. (2017). ''Multiple exp-function method for soliton solutions of nonlinear evolution equations''. Chinese Physics B, 26(7).
dc.identifier.issn1674-1056
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85021955070
dc.identifier.urihttps://doi.org/10.1088/1674-1056/26/7/070201
dc.identifier.urihttps://iopscience.iop.org/article/10.1088/1674-1056/26/7/070201
dc.identifier.uri1741-4199
dc.identifier.urihttp://hdl.handle.net/11452/30341
dc.identifier.volume26
dc.identifier.wos000405128000001
dc.indexed.wosSCIE
dc.language.isoen
dc.publisherIOP Publishing
dc.relation.journalChinese Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectPhysics
dc.subject(2+1)-dimensional Sawada-Kotera (SK) equation
dc.subject(3+1)-dimensional nonlinear evolution equation (NLEE)
dc.subjectMultiple exp-function method, multiple wave solutions
dc.subject(2+1)-dimensional sawada-kotera
dc.subjectBacklund transformation
dc.subjectFunction algorithm
dc.subjectWave-equations
dc.subjectTanh method
dc.subjectForm
dc.subjectDifferential equations
dc.subjectSolitons
dc.subject(2+1)-dimensional Sawada-Kotera (SK) equation
dc.subjectExp-function method
dc.subjectMultiple wave solutions
dc.subjectNonlinear evolution equation
dc.subjectNumerical solution
dc.subjectParticular solution
dc.subjectPhysical phenomena
dc.subjectSoliton solutions
dc.subjectNonlinear equations
dc.subject.scopusHirota Bilinear Method; Social Interaction; Kadomtsev-Petviashvili Equation
dc.subject.wosPhysics, multidisciplinary
dc.titleMultiple exp-function method for soliton solutions of nonlinear evolution equations
dc.typeArticle
dc.wos.quartileQ3
dspace.entity.typePublication
local.contributor.departmentFen Edebiyat Fakültesi/Matematik Bölümü
local.indexed.atScopus
local.indexed.atWOS

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