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Conference publicationsAbstractsXX conferenceGroup analysis of reaction-diffusion modelsLaboratory "Group analysis of mathematical models in natural and engineering sciences", Ufa State Aviation Technical University, K.Marx Str. 12, 450 000 Ufa, Russia 1 pp. (accepted)Diffusion type systems of nonlinear partial differential equations ∂u ∂t = f(u, v) + A ∂2u ∂x2 + ∂ ∂x ( ϕ(u, v) ∂v ∂x ) , ∂v ∂t = g(u, v) + B ∂2v ∂x2 + ∂ ∂x ( ψ(u, v) ∂u ∂x ) , (1) known as reaction-diffusion models, are used for investigating propagation of nonlinear waves in physical, chemical and biomedical phenomena (see, e.g. [1]). Here A,B are arbitrary parameters, f(u, v), g(u, v), ϕ(u, v) and ψ(u, v) are arbitrary functions. The system ut = f(u)
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