Infinite-dimensional symmetries of a general class of variable coefficient evolution equations in 2+1 dimensions
2013 (English)In: ISQS21, Institute of Physics Publishing (IOPP), 2013, Vol. 474Conference paper (Refereed)
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
, Journal of Physics: Conference Series, ISSN 1742-6588 (print), 1742-6596 (online) ; 474
IdentifiersURN: urn:nbn:se:liu:diva-103260DOI: 10.1088/1742-6596/474/1/012010ISI: 000327951000010OAI: oai:DiVA.org:liu-103260DiVA: diva2:688530
XXIst International Conference on Integrable Systems and Quantum Symmetries (ISQS21),