Generalized scaling reductions and Painlevé hierarchies

► Generalized scaling reductions of KdV and dispersive water wave hierarchies. ► Thus we obtain new derivations of two Painlevé hierarchies. ► Also generalized scaling reduction of Burgers hierarchy. We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generali...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 219; no. 15; pp. 8104 - 8111
Main Authors Gordoa, P.R., Muğan, U., Pickering, A.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2013
Subjects
Burgers hierarchy
Computation
Construction
Derivation
Dispersive water wave hierarchy
Hierarchies
Korteweg–de Vries hierarchy
Mathematical models
Painlevé hierarchies
Reduction
Scaling reductions
Water waves
Dispersive water wave hierarchy
Burgers hierarchy
Painlevé hierarchies
Korteweg–de Vries hierarchy
Scaling reductions
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Summary:► Generalized scaling reductions of KdV and dispersive water wave hierarchies. ► Thus we obtain new derivations of two Painlevé hierarchies. ► Also generalized scaling reduction of Burgers hierarchy. We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generalized scaling reductions of the Korteweg–de Vries and dispersive water wave hierarchies. We also construct a generalized scaling reduction of Burgers hierarchy.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.02.043