Gordoa, P. R.Muğan, U.Pickering, A.2016-02-082016-02-0820130096-3003http://hdl.handle.net/11693/21018We 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.EnglishBurgers hierarchyDispersive water wave hierarchyKorteweg-de Vries hierarchyPainlevé hierarchiesScaling reductionsBurgers hierarchyKorteweg-de VriesPainleveWave hierarchiesComputational methodsMathematical techniquesWater wavesGeneralized scaling reductions and Painlevé hierarchiesArticle10.1016/j.amc.2013.02.0431873-5649