Abstract
Abstract
The paper is devoted to the order reduction for traveling wave problems for reaction-diffusion systems. The use of the method of invariant manifolds of singularly perturbed systems allows us to replace the study of the traveling wave of the original PDE system with the analysis of their profiles in the ODE system with a lower order.
Subject
General Physics and Astronomy
Cited by
3 articles.
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1. Front Transport Reduction for Complex Moving Fronts;Journal of Scientific Computing;2023-06-03
2. DECOMPOSITION OF TRAVELING WAVES PROBLEMS;Vestnik of Samara University. Natural Science Series;2022-07-08
3. CRITICAL TRAVELLING WAVES IN ONE MODEL OF THE ”REACTION-DIFFUSION” TYPE;Vestnik of Samara University. Natural Science Series;2022-03-30