On the peakon solutions of some stochastic nonlinear evolution equations

dc.contributor.authorYokus, Asif
dc.contributor.authorTaskesen, Hatice
dc.contributor.authorAlaloush, Mohanad
dc.contributor.authorDemirdag, Betul Deniz
dc.date.accessioned2026-08-12T16:57:16Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, stochastic Fornberg-Whitham and a stochastic Camassa-Holm (CH) type equations are studied. A Galilean transformation which previously used for a stochastic KdV equation is employed to transform the equations into their deterministic counterparts. Then (1/G')-expansion method is used to obtain analytical solutions. 2D, 3D, and contour graphs representing the peakon solutions have been plotted by assigning special values to the constants in the solutions via computer software. In addition, by giving different random values to the external noise, the effect of the noise on the wave-forms has been exhibited. The obtained results have been discussed in detail.
dc.description.sponsorshipResearch Fund of Van Yuzuncu Yil University [FDK-2020-8881]
dc.description.sponsorshipThe second and third authors are supported by the Research Fund of Van Yuzuncu Yil University [grant number FDK-2020-8881].
dc.identifier.doi10.1007/s11082-021-03240-z
dc.identifier.issn0306-8919
dc.identifier.issn1572-817X
dc.identifier.issue10
dc.identifier.orcid0000-0002-1460-8573
dc.identifier.orcid0000-0003-1058-0507
dc.identifier.orcid0000-0002-2861-8895
dc.identifier.scopus2-s2.0-85115204396
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1007/s11082-021-03240-z
dc.identifier.urihttps://hdl.handle.net/11508/46374
dc.identifier.volume53
dc.identifier.wosWOS:000698444700003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofOptical and Quantum Electronics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectStochastic Camassa-Holm type equation
dc.subjectStochastic Fornberg-Whitham equation
dc.subjectExact solution
dc.subjectNoise
dc.subject(1/G ')-expansion
dc.titleOn the peakon solutions of some stochastic nonlinear evolution equations
dc.typeArticle

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