Browsing by Author "Sharmila"

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    Onnonclassical symmetries, Painlevé analysis andsoliton solutions of three-coupled korteweg–devries (KdV)system
    (2025) Sharmila
    ThethreecoupledKdVsystemisinvestigatedforexactsolutionsandPainlevéanalysis.Exactsolutions areexaminedthroughnonclassicalsymmetriesviaBlumanandColeapproach.Derivedsymmetries aregeneralizations ofearlier obtainedsymmetriesoftheconsideredsystem.Thereispowerseries solutionofthereducedODEsoftheexaminedsystem.AssumingthesolutionsintermsofJacobi elliptic functions, somenewsolitonsolutionsofthesystemunderconsiderationareobtained.These solutionsaretwo-singularsoliton,three-singularsoliton,multi-soliton, multi-singular soliton, combinedsoliton,brightsolion,darksoliton,andbellshapedsolitonsolutions.Further,graphical depictionoftheexactsolutionstothegoverningsystem.UsingKruskalsmethodandsymbolic softwareMaple,itisverifiedthatthesystemhasPainlevépropertythatrepresentsintegrabilityofthe governing system .