Bäcklund transformations for higher order Painlevé equations

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dc.citation.epage1115en_US
dc.citation.issueNumber5en_US
dc.citation.spage1103en_US
dc.citation.volumeNumber22en_US
dc.contributor.authorGordoa, P. R.en_US
dc.contributor.authorMuğan, U.en_US
dc.contributor.authorPickering, A.en_US
dc.contributor.authorSakka, A.en_US
dc.date.accessioned2016-02-08T10:25:01Z
dc.date.available2016-02-08T10:25:01Z
dc.date.issued2004en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractWe present a new generalized algorithm which allows the construction of Bäcklund transformations (BTs) for higher order ordinary differential equations (ODEs). This algorithm is based on the idea of seeking transformations that preserve the Painlevé property, and is applied here to ODEs of various orders in order to recover, amongst others, their auto-BTs. Of the ODEs considered here, one is seen to be of particular interest because it allows us to show that auto-BTs can be obtained in various ways, i.e. not only by using the severest of the possible restrictions of our algorithm. © 2004 Elsevier Ltd. All rights reserved.en_US
dc.identifier.doi10.1016/j.chaos.2004.02.055en_US
dc.identifier.eissn1873-2887
dc.identifier.issn0960-0779
dc.identifier.urihttp://hdl.handle.net/11693/24162
dc.language.isoEnglishen_US
dc.publisherPergamon Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.chaos.2004.02.055en_US
dc.source.titleChaos, Solitons and Fractalsen_US
dc.titleBäcklund transformations for higher order Painlevé equationsen_US
dc.typeArticleen_US
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