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Nonlocal Symmetries of the System of Chemotaxis Equations with Derivative Nonlinearity

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Ukrainian Mathematical Journal Aims and scope

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.

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  1. Korolenko Poltava National Pedagogic University, Poltava, Ukraine

    M. I. Serov & Yu. G. Podoshvelev

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  1. M. I. Serov
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Correspondence to Yu. G. Podoshvelev.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 3, pp. 373–388, March, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i3.6997.

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Serov, M.I., Podoshvelev, Y.G. Nonlocal Symmetries of the System of Chemotaxis Equations with Derivative Nonlinearity. Ukr Math J 74, 420–438 (2022). https://doi.org/10.1007/s11253-022-02073-7

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  • DOI: https://doi.org/10.1007/s11253-022-02073-7

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