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Please use this identifier to cite or link to this item: https://openscholar.ump.ac.za/handle/20.500.12714/558
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dc.contributor.authorPlaatjie, Karabo.en_US
dc.contributor.authorMotsepa, Tanki.en_US
dc.contributor.authorJohnpillai, A. G.en_US
dc.contributor.authorKhalique, Chaudry Masood.en_US
dc.date.accessioned2022-11-30T10:47:40Z-
dc.date.available2022-11-30T10:47:40Z-
dc.date.issued2022-
dc.identifier.urihttps://openscholar.ump.ac.za/handle/20.500.12714/558-
dc.description.abstractWe study the two-dimensional constant coefficients Korteweg-de Vries equation, which was established not long ago in the literature. We construct group-invariant solutions and conservation laws for this equation. Lie group method is applied and the Lie point symmetries are derived. We show how one can derive travelling waves symmetry solutions given in respect of the Weierstrass-zeta and hyperbolic functions using its symmetries. Furthermore, we present infinite number of conservation laws of the underlying equation obtained by means of the multiplier approach.en_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media {LLC}en_US
dc.relation.ispartofInternational Journal of Applied and Computational Mathematicsen_US
dc.subjectTwo-dimensional Korteweg-de Vries equation.en_US
dc.subjectLie point symmetries.en_US
dc.subjectExact solution.en_US
dc.subjectConservation laws.en_US
dc.subjectMultiplier method.en_US
dc.titleSymmetry solutions and conserved vectors of the two-dimensional Korteweg-de Vries equation.en_US
dc.typejournal articleen_US
dc.relation.datasetData sharing is not applicable to this article as no datasets were generated or analyzed during the current study.en_US
dc.identifier.doi10.1007/s40819-022-01428-9-
dc.contributor.affiliationNorth-West Universityen_US
dc.contributor.affiliationSchool of Computing and Mathematical Sciencesen_US
dc.contributor.affiliationEastern Universityen_US
dc.contributor.affiliationNorth-West Universityen_US
dc.relation.issn2199-5796en_US
dc.description.volume8en_US
dc.description.issue227en_US
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.fulltextWith Fulltext-
item.openairetypejournal article-
item.cerifentitytypePublications-
item.grantfulltextopen-
item.languageiso639-1en-
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