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New conservation laws and exact solutions of the special case of the fifth-order KdV equation

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dc.contributor.authorAkbulut, Arzu
dc.contributor.authorKaplan, Melike
dc.contributor.authorKaabar, Mohammed Khalid Awad
dc.date.accessioned2026-01-04T17:06:39Z
dc.date.issued2022-08-01
dc.description.abstractThe current study deals with the Kaup-Kupershmidt (KK) equation to construct formal Lagrangian, conservation laws, and exact solutions. KK is basically a special case of the 5th-order KdV equation. The conservation laws obtained by using the conservation theorem are trivial conservation laws. In addition, exact solutions are found via the modified simple equation (MSE) method. For a suitable value of solutions, the 3D surfaces have been plotted using MAPLE. These plots giving novel exact solutions are made to reveal important wave characteristics. Our obtained results in this work concerning our investigated equation are essential to explain many physical and oceanographic applications involving ocean gravity waves and many other related phenomena.
dc.description.urihttps://doi.org/10.1016/j.joes.2021.09.010
dc.description.urihttps://doaj.org/article/6ab61458bfae49768db18db916f17e7f
dc.description.urihttps://dx.doi.org/10.1016/j.joes.2021.09.010
dc.description.urihttps://avesis.uludag.edu.tr/publication/details/f13276ba-df90-45eb-9853-72d8f31543b0/oai
dc.description.urihttps://doi.org/https://doi.org/10.1016/j.joes.2021.09.010
dc.identifier.doi10.1016/j.joes.2021.09.010
dc.identifier.endpage382
dc.identifier.issn2468-0133
dc.identifier.openairedoi_dedup___::64e7f7c66c2dbba9fb00f5b34b5cca18
dc.identifier.orcid0000-0003-2448-2481
dc.identifier.orcid0000-0001-5700-9127
dc.identifier.scopus2-s2.0-85116774695
dc.identifier.startpage377
dc.identifier.urihttps://hdl.handle.net/20.500.12597/39902
dc.identifier.volume7
dc.identifier.wos000864443500010
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofJournal of Ocean Engineering and Science
dc.rightsOPEN
dc.subjectOcean engineering
dc.subjectTC Hydraulic engineering. Ocean engineering
dc.subjectC15
dc.subjectF10
dc.subjectQA Mathematics
dc.subjectS10
dc.subjectTC1501-1800
dc.titleNew conservation laws and exact solutions of the special case of the fifth-order KdV equation
dc.typeArticle
dspace.entity.typePublication
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