The classification of the Galilei-invariant systems of nonlinear reaction-diffusion equations
DOI:
https://doi.org/10.15407/dopovidi2015.07.007Keywords:
Galilei transformation, reaction-diffusion equation, symmetryAbstract
The full description of the Galilei-invariant systems of nonlinear reaction-diffusion equations is presented in the case where the roots of the characteristic equation of the diffusion matrix are real numbers.
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Danilov Yu.A. Group analysis of the Turing systems and of its analogues. Preprint, Kurchatov Institute of Atomic Energy, IAE–3287/1, Moscow, 1980 (in Russian).
Cherniha R., King J.R. J. Phys. A: Math. Gen., 2000, 33: 267–282. https://doi.org/10.1088/0305-4470/33/2/304
Cherniha R., King J.R. J. Phys. A: Math. Gen., 2000, 33: 7839–7841. https://doi.org/10.1088/0305-4470/33/43/401
Cherniha R., King J.R. J. Phys. A: Math. Gen., 2002, 36: 405–425. https://doi.org/10.1088/0305-4470/36/2/309
Nikitin A.G., Wiltshire R. Proceeding of Institute of Mathematics of the NAS of Ukraine, 2000, 30, Pt. 1: 47–59.
Nikitin A.G., Wiltshire R. J. J. Math. Phys., 2001, 42, No 4: 1667–1688. https://doi.org/10.1063/1.1331318
Nikitin A.G. Ukr. math. visnyk, 2005, 2, No 1: 149–200.
Malcev A. I. Foundations of linear algebra, Moscow: Nauka, 1970 (in Russian).
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