Barannyk T. Symmetry and exact solutions of nonlinear diffusion equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000912

Thesis Registration Form

0406U000912.pdf

Applicant for

Specialization

  • 01.01.03 - Математична фізика

28-02-2006

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

In the thesis we investigate classical and conditional symmetry of the system of nonlinear reaction-diffusion equations. The symmetry properties of these systems are used for constructing of exact solutions. The special ansatzes are proposed for carring out of reduction and effective finding of exact solutions of the Kolmogorov-Petrovskii-Piskunov equation, the Fisher equation and many others, which are widely used in models of heat and reaction-diffusion processes, mathematical biology, chemistry, genetics.

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Files

REFERAT.pdf

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