Browsing by Subject "Painlevé hierarchies"

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    Generalized scaling reductions and Painlevé hierarchies
    (Elsevier, 2013) Gordoa, P. R.; Muğan, U.; Pickering, A.
    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. © 2013 Elsevier Inc. All rights reserved.