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Construction of coupled Harry Dym hierarchy and its solutions from Stackel systems
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
Adam Mickiewicz University Poznan.
2010 (English)In: NONLINEAR ANALYSIS-THEORY METHODS and APPLICATIONS, ISSN 0362-546X, Vol. 73, no 9, 3004-3017 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we show how to construct the coupled (multicomponent) Harry Dym (cHD) hierarchy from classical Stackel separable systems. Both nonlocal and purely differential parts of hierarchies are obtained. We also construct various classes of solutions of cHD hierarchy from solutions of corresponding Stackel systems.

Place, publisher, year, edition, pages
Elsevier Science B.V., Amsterdam. , 2010. Vol. 73, no 9, 3004-3017 p.
Keyword [en]
Stackel separable systems, Hamilton-Jacobi theory, Hydrodynamic systems, Rational solutions, Multicomponent Harry Dym hierarchy
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-58954DOI: 10.1016/j.na.2010.06.067ISI: 000281062800022OAI: oai:DiVA.org:liu-58954DiVA: diva2:347790
Note
Original Publication: Krzysztof Marciniak and Maciej Blaszak, Construction of coupled Harry Dym hierarchy and its solutions from Stackel systems, 2010, NONLINEAR ANALYSIS-THEORY METHODS and APPLICATIONS, (73), 9, 3004-3017. http://dx.doi.org/10.1016/j.na.2010.06.067 Copyright: Elsevier Science B.V., Amsterdam. http://www.elsevier.com/ Available from: 2010-09-03 Created: 2010-09-03 Last updated: 2010-09-16

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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf