Русский
!

Conference publications

Abstracts

XX conference

Group analysis of reaction-diffusion models

Ibragimov N.

Laboratory "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)



© 2004 Designed by Lyceum of Informational Technologies №1533