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

  • M. I. Serov Poltava National Pedagogical University
  • Yu. G. Podoshvelev Poltava National Pedagogical University
Keywords: ansatz, reduction, symmetry, operator, transformation, invariance, system, chemotaxis, diffusion-reaction-convection

Abstract

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.

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Published
26.04.2022
How to Cite
Serov, M. I., and Y. G. Podoshvelev. “On Nonlocal Symmetries of a System of Chemotaxis Equations With Derivative Nonlinearity ”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 3, Apr. 2022, pp. 373-88, doi:10.37863/umzh.v74i3.6997.
Section
Research articles