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Infinite-dimensional symmetries of a general class of variable coefficient evolution equations in 2+1 dimensions
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology.
Istanbul Technical University, Turkey.
Istanbul Technical University, Turkey.
2013 (English)In: ISQS21, Institute of Physics Publishing (IOPP), 2013, Vol. 474Conference paper, Published paper (Refereed)
Abstract [en]

We consider generalized KP-Burgers equations and attempt to identify subclasses admitting Virasoro or Kac-Moody type algebras as their symmetries. We give reductions to ODEs constructed from invariance requirement under these infinite-dimensional Lie symmetry algebras and integrate them in cases where it is possible. We also look at the conditions under which the equation passes the Painleve test and construct some exact solutions by truncation.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2013. Vol. 474
Series
Journal of Physics: Conference Series, ISSN 1742-6588 (print), 1742-6596 (online) ; 474
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-103260DOI: 10.1088/1742-6596/474/1/012010ISI: 000327951000010OAI: oai:DiVA.org:liu-103260DiVA: diva2:688530
Conference
XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21),
Available from: 2014-01-17 Created: 2014-01-16 Last updated: 2014-02-04Bibliographically approved

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Basarab-Horwath, Peter

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