References
Ya. B. Zel'dovich and D. A. Frank-Kamenetskii, Dokl. Akad. Nauk SSSR 19, 693 (1938).
D. A. Frank-Kamenetskii, Diffusion and Heat Transfer in Chemical Kinetics (Nauka, Moscow, 1987).
Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion (Nauka, Moscow, 1980).
A. G. Merzhanov and B. I. Khaikin, Prog. Energ. Combust. Sci. 14, 1 (1988).
V. P. Maslov, V. G. Danilov, and K. A. Volosov, Mathematical Modeling of Heat and Mass Transfer Processes (Nauka, Moscow, 1987).
A. I. Vol'pert and I. G. Petrovskii, in Selected Works. Differential Equations (Nauka, Moscow, 1987), pp. 333–358.
O. V. Kaptsov, Mat. Model. 4(8), 31 (1992).
V. K. Andreev, O. V. Kaptsov, V. V. Pukhnachev, and A. A. Rodionov, Application of Group-Theoretical Methods in Hydrodynamics (Nauka, Novosibirsk, 1994).
O. V. Kaptsov, Mat. Model. 7(3), 107 (1995).
O. V. Kaptsov, J. Nonlinear Math. Phys. 4(1), 283 (1995).
A. V. Shmidt, Vychisl. Tekhnol. 3(4), 87 (1998).
Author information
Authors and Affiliations
Additional information
__________
Translated from Doklady Akademii Nauk, Vol. 375, No. 2, 2000, pp. 188–190.
Original Russian Text Copyright © 2000 by Bykov, Shmidt.
Rights and permissions
About this article
Cite this article
Bykov, V.I., Shmidt, A.V. Exact time-dependent solutions in the simplest model of chain-flame propagation. Dokl. Phys. 45, 610–612 (2000). https://doi.org/10.1134/1.1333867
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1333867