Geodesic
Decomposition of traveling waves problems
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 22-30

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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.
Mots-clés : singular perturbations, perturbations, fast variables
Keywords: slow invariant manifolds, critical travelling waves, singular, integral manifold, order reduction, asymptotic expansion, differential equations, slow variables. 
@article{VSGU_2021_27_3_a2,
     author = {V. A. Sobolev and E. A. Tropkina and E. A. Shchepakina and L. Zhang},
     title = {Decomposition of traveling waves problems},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {22--30},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a2/}
}
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V. A. Sobolev; E. A. Tropkina; E. A. Shchepakina; L. Zhang. Decomposition of traveling waves problems. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 27 (2021) no. 3, pp. 22-30. http://geodesic.mathdoc.fr/item/VSGU_2021_27_3_a2/