Onnonclassical symmetries, Painlevé analysis andsoliton solutions of three-coupled korteweg–devries (KdV)system
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Date
2025
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Abstract
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 .