Sharmila2026-03-122026-03-122025http://cuh.ndl.gov.in/handle/123456789/1773ThethreecoupledKdVsystemisinvestigatedforexactsolutionsandPainlevéanalysis.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 .en