Nonlocal Symmetries of the System of Chemotaxis Equations with Derivative Nonlinearity

By using 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, to reduce it, and to find the exact solutions of the system of chemotaxis e...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2022-08, Vol.74 (3), p.420-438
Main Authors: Serov, M. I., Podoshvelev, Yu. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Convection-diffusion equation
Exact solutions
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:By using 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, to reduce it, and to find the exact solutions of the system of chemotaxis equations.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-022-02073-7