DECOMPOSITION OF TRAVELING WAVES PROBLEMS-Reference-Cited by-同舟云学术

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DECOMPOSITION OF TRAVELING WAVES PROBLEMS

Published:2022-07-08 Issue:3 Volume:27 Page:22-30
ISSN:2712-8954
Container-title:Vestnik of Samara University. Natural Science Series
language:
Short-container-title:Vestnik of Samara University. Natural Science Series

Author:

Sobolev V. A.^ORCID,Tropkina E. A.^ORCID,Shchepakina E. A.^ORCID,Zhang L.^ORCID

Abstract

In the article, the traveling waves problem for singularly perturbed systems of semilinear parabolic equations is considered. An effective method for the order reduction of singularly perturbed systems is proposed. The obtained mathematical results are used to study traveling waves both for abstract partial differential equations and for a specific model that can arise in physics problems, chemistry, and biology.

Publisher

Samara National Research University

Reference15 articles.

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2. Murray J.D. Mathematical Biology (3rd Ed). New York, 2003, Vol. II (Spatial Models and Biomedical Applications). Available at: http://pcleon.if.ufrgs.br/pub/listas-sistdin/MurrayII.pdf.

3. Volpert A.I., Volpert Vitaly A., Volpert Vladimir A. Traveling Wave Solutions of Parabolic Systems. Providence: AMS, 1994. Available at: https://box.cs.istu.ru/public/docs/other/_Unsorted/new/books.pdox.net/Math/Traveling%20Wave%20Solutions%20of%20Parabolic%20Systems.pdf.

4. Shock Waves and Reaction—Diffusion Equations

5. Integral manifolds and decomposition of singularly perturbed systems

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