A. A. Alexandrova, N. H. Ibragimov, K. V. Imamutdinova, V. O. Lukashchuk, “Local and nonlocal conserved vectors for the nonlinear filtration equation”, Ufimsk. Mat. Zh., 2012, Volume 4, Issue 4,Pages <nobr>179

This article is cited in 5 papers

Local and nonlocal conserved vectors for the nonlinear filtration equation

A. A. Alexandrova^a, N. H. Ibragimov^ab, K. V. Imamutdinova^a, V. O. Lukashchuk^a

^a Laboratory Group analysis of mathematical models in natural and engineering sciences, Ufa State Aviation Technical University, Ufa, Russia
^b Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, Karlskrona, Sweden

Abstract: It is demonstrated that the nonlinear filtration equation is nonlinarly selfadjoint. Using this property, the conserved vectors associated with Lie point and nonlocal symmetries are constructed.

Keywords: nonlinear filtration equation, nonlinear self-adjointness, Lie point and nonlocal symmetries, conserved vectors.

UDC: 517.958+537.84

Received: 29.10.2012

Language: English