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Found 47 Documents (Results 1–47)

A method for the construction of exact solutions to the nonlinear heat equation \(u_t = (F(U)U_x)_X + G(U)U_{x} + H(U)\). (English. Ukrainian original) Zbl 1503.35054

Ukr. Math. J. 71, No. 11, 1651-1663 (2020); translation from Ukr. Mat. Zh. 71, No. 11, 1443 -1454 (2019).
MSC:  35C05 35K59
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Classification of symmetry properties of the \((1+2)\)-dimensional reaction-convection-diffusion equation. (English. Ukrainian original) Zbl 1448.35018

J. Math. Sci., New York 247, No. 2, 328-350 (2020); translation from Neliniĭni Kolyvannya 22, No. 1, 98-117 (2019).
MSC:  35B06 35K57 35C05
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On symmetries and conservation laws for a generalized Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 1414.35012

Macau, Elbert E. N. (ed.), A mathematical modeling approach from nonlinear dynamics to complex systems. Cham: Springer. Nonlinear Syst. Complex. 22, 27-50 (2019).
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Group classification of a class of Kolmogorov equations with time-dependent coefficients. (Ukrainian, English) Zbl 1399.35019

Mat. Metody Fiz.-Mekh. Polya 59, No. 2, 94-100 (2016); translation in J. Math. Sci., New York 231, No. 5, 598-607 (2018).
MSC:  35A30 35K10
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Galilei’s relativity principle for a system of reaction-convection-diffusion equations. (English. Russian original) Zbl 1284.35032

J. Math. Sci., New York 194, No. 5, 539-556 (2013); translation from Ukr. Mat. Visn. 10, No. 2, 211-233 (2013).
MSC:  35B06 35K57
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Nonlocal symmetries. Heuristic approach. (English. Russian original) Zbl 0760.35002

J. Sov. Math. 55, No. 1, 1401-1450 (1991); translation from Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Noveishie Dostizh. 34, 3-83 (1989).
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