caa a22 4500 445850191 CHVBK 20180317145411.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1134/S0040579511030067 doi (NATIONALLICENCE)springer-10.1134/S0040579511030067 Analysis of long-time interaction of perturbations in problems of macrokinetics [Elektronische Daten] [I. Elyukhina, L. Kholpanov] We developed an approach for the reduction of systems of nonlinear partial differential equations to the general nonlinear parabolic equation for a complex amplitude of an envelope wave. The equation is complexly derived: by using wave packages, method of many scales, modification of Mandelshtam method and taking into account group velocity of an envelope wave, that is typical for an actual nonlinear dispersive medium. We consider the features of such modeling for a system with nonlinearities occurring in the simplest model of a nonisothermal chemical reaction, in particular, of thermal autoignition and flame propagation. Pleiades Publishing, Ltd., 2011 Elyukhina I. South Ural State University, pr. Lenin 76, 454080, Chelyabinsk, Russia aut Kholpanov L. Institute of Problems of Chemical Physics, Russian Academy of Sciences, pr. Semenov 1, 142432, Chernogolovka, Russia aut Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/3(2011-06-01), 292-298 0040-5795 45:3<292 2011 45 11236 https://doi.org/10.1134/S0040579511030067 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0040579511030067 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Elyukhina I. South Ural State University, pr. Lenin 76, 454080, Chelyabinsk, Russia aut NATIONALLICENCE 700 1- Kholpanov L. Institute of Problems of Chemical Physics, Russian Academy of Sciences, pr. Semenov 1, 142432, Chernogolovka, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/3(2011-06-01), 292-298 0040-5795 45:3<292 2011 45 11236 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer