Onnonclassical symmetries, Painlevé analysis andsoliton solutions of three-coupled korteweg–devries (KdV)system
| dc.contributor.author | Sharmila | |
| dc.date.accessioned | 2026-03-12T05:07:39Z | |
| dc.date.available | 2026-03-12T05:07:39Z | |
| dc.date.issued | 2025 | |
| dc.description.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 . | |
| dc.identifier.uri | http://cuh.ndl.gov.in/handle/123456789/1773 | |
| dc.language.iso | en | |
| dc.title | Onnonclassical symmetries, Painlevé analysis andsoliton solutions of three-coupled korteweg–devries (KdV)system |
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