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dc.contributor.authorSong, H
dc.contributor.authorTao, L
dc.date.accessioned2017-05-03T15:00:16Z
dc.date.available2017-05-03T15:00:16Z
dc.date.issued2008
dc.date.modified2009-10-30T04:41:14Z
dc.identifier.issn1446-1811
dc.identifier.doi10.21914/anziamj.v50i0.1354
dc.identifier.urihttp://hdl.handle.net/10072/22508
dc.description.abstractThis article solves the well-known Korteweg-de Vries equation by the homotopy analysis method, an analytical, totally explicit technique. By choosing a proper auxiliary parameter, the new series solution converges rapidly to the exact solution, with a simple way to adjust the convergence region. In addition, we show that a significant improvement of the convergence rate and region is achieved by applying homotopy-pad/'e approximants. The present method holds promise in providing soliton solutions for more complicated wave equations.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent200257 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherCambridge University Press
dc.publisher.placeUnited Kingdom
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefromC152
dc.relation.ispartofpagetoC165
dc.relation.ispartofjournalThe A N Z I A M Journal
dc.relation.ispartofvolume50
dc.rights.retentionY
dc.subject.fieldofresearchNumerical Solution of Differential and Integral Equations
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode010302
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode09
dc.titleSoliton solutions for the Korteweg-de Vries equation by homotopy analysis method
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, Griffith School of Engineering
gro.rights.copyright© 2008 Cambridge University Press. Please refer to the journal's website for access to the definitive, published version.
gro.date.issued2008
gro.hasfulltextFull Text
gro.griffith.authorTao, Longbin
gro.griffith.authorSong, Hao


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