On nonlocal symmetries of a system of chemotaxis equations with derivative nonlinearity

UDC 517.912 With the help of nonlocal equivalence transformations, the system of chemotaxis equations is associated with a system of convection-diffusion equations. The Lie symmetry of the obtained system is used to construct nonlocal ansatzes and to reduce and find exact solutions of the system of...

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Datum:2022
Hauptverfasser: Serov, M. I., Podoshvelev, Yu. G., Сєров, М. I., Подошвелев, Ю. Г.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/6997
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.912 With the help of nonlocal equivalence transformations, the system of chemotaxis equations is associated with a system of convection-diffusion equations. The Lie symmetry of the obtained system is used to construct nonlocal ansatzes and to reduce and find exact solutions of the system of chemotaxis equations.
DOI:10.37863/umzh.v74i3.6997