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      Generalized scaling reductions and Painlevé hierarchies

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      Author
      Gordoa, P. R.
      Muğan, U.
      Pickering, A.
      Date
      2013
      Source Title
      Applied Mathematics and Computation
      Print ISSN
      0096-3003
      Electronic ISSN
      1873-5649
      Publisher
      Elsevier
      Volume
      219
      Issue
      15
      Pages
      8104 - 8111
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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.
      Keywords
      Burgers hierarchy
      Dispersive water wave hierarchy
      Korteweg-de Vries hierarchy
      Painlevé hierarchies
      Scaling reductions
      Burgers hierarchy
      Korteweg-de Vries
      Painleve
      Wave hierarchies
      Computational methods
      Mathematical techniques
      Water waves
      Permalink
      http://hdl.handle.net/11693/21018
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.amc.2013.02.043
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      • Department of Mathematics 614
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