Generalized scaling reductions and Painlevé hierarchies
Applied Mathematics and Computation
8104 - 8111
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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.
Dispersive water wave hierarchy
Korteweg-de Vries hierarchy
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.amc.2013.02.043
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