A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws

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dc.contributor.buuauthorYıldırım, Yakup
dc.contributor.buuauthorYaşar, Emrullah
dc.contributor.departmentUludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.tr_TR
dc.contributor.orcid0000-0003-4732-5753
dc.contributor.orcid0000-0003-4443-3337
dc.contributor.researcheridAAG-9947-2021
dc.contributor.researcheridHTO-9875-2023
dc.contributor.scopusid56988856400tr_TR
dc.contributor.scopusid23471031300tr_TR
dc.date.accessioned2024-03-21T08:03:17Z
dc.date.available2024-03-21T08:03:17Z
dc.date.issued2017-12-13
dc.description.abstractIn this paper, we consider a (2+1)-dimensional breaking soliton equation which describe the (2+1)dimensional interaction of the Riemann wave propagating along the y-axis with a long wave along the x-axis. By the Lie group analysis, the Lie point symmetry generators and symmetry reductions were deduced. From the viewpoint of exact solutions, we have performed two distinct methods to the equation for getting some exact solutions. Kudryashov's simplest methods and ansatz method with the assistance of Maple were carried out. The local conservation laws are also constructed by multiplier/homotopy methods. Finally, the graphical simulations of the exact solutions are depicted.en_US
dc.identifier.citationYıldırım, Y. ve Yaşar, E. (2018). ''A (2+1)-dimensional breaking soliton equation: Solutions and conservation laws''. Chaos Solitons & Fractals, 107, 146-155.en_US
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2017.12.016en_US
dc.identifier.eissn1873-2887
dc.identifier.endpage155tr_TR
dc.identifier.issn0960-0779
dc.identifier.scopus2-s2.0-85040067897tr_TR
dc.identifier.startpage146tr_TR
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0960077917305180en_US
dc.identifier.urihttps://hdl.handle.net/11452/40547
dc.identifier.volume107tr_TR
dc.identifier.wos000424951300019tr_TR
dc.indexed.wosSCIEen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.journalChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergitr_TR
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMathematicsen_US
dc.subjectPhysicsen_US
dc.subject(2+1)-Dimensional breaking soliton equationen_US
dc.subjectSymmetry analysisen_US
dc.subjectExact solutionsen_US
dc.subjectKudryashov's simplest equation methodsen_US
dc.subjectOptical soliton solutionen_US
dc.subjectConservation lawsen_US
dc.subjectNonlinear differential-equationsen_US
dc.subjectComputationen_US
dc.subjectSymmetriesen_US
dc.subjectExamplesen_US
dc.subjectPhysical propertiesen_US
dc.subjectSolitonsen_US
dc.subjectConservation lawen_US
dc.subjectExact solutionen_US
dc.subjectOptical solitonen_US
dc.subjectSimplest equation methoden_US
dc.subjectSoliton equationen_US
dc.subjectSymmetry analysisen_US
dc.subjectLie groupsen_US
dc.subject.scopusExact Solution; Optical Solitons; (G′/G)-expansion Methoden_US
dc.subject.wosMathematics, interdisciplinary applicationsen_US
dc.subject.wosPhysics, multidisciplinaryen_US
dc.subject.wosPhysics, mathematicalen_US
dc.titleA (2+1)-dimensional breaking soliton equation: Solutions and conservation lawsen_US
dc.typeArticleen_US
dc.wos.quartileQ1en_US

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