Nonlinear Concentration Waves in an Imperfect Reacting Diffusion System |
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Authors: | V V Krasil'nikov S E Savotchenko |
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Institution: | (1) Belgorod State University, Belgorod, Russia |
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Abstract: | A nonlinear differential equation describing the evolution of the intermediate reagent concentration is derived for the generalized
Schlogl model of a chemical reaction in an imperfect system. It is demonstrated that concentration waves corresponding to
a periodic analytic solution of the evolutionary equation arise in the imperfect system. Conditions of existence of periodic
and solitary waves are formulated depending on the concentration of the initial component and the imperfection parameters
of the examined system.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 81–84, July, 2005. |
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