Symmetries and Solutions for a Class of Advective Reaction-Diffusion Systems with a Special Reaction Term

Mariano Torrisi () and Rita Tracinà
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Mariano Torrisi: Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria, 6, 95125 Catania, Italy
Rita Tracinà: Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria, 6, 95125 Catania, Italy

Mathematics, 2022, vol. 11, issue 1, 1-11

Abstract: This paper is devoted to apply the Lie methods to a class of reaction diffusion advection systems of two interacting species u and v with two arbitrary constitutive functions f and g . The reaction term appearing in the equation for the species v is a logistic function of Lotka-Volterra type. Once obtained the Lie algebra for any form of f and g a Lie classification is carried out. Interesting reduced systems are derived admitting wide classes of exact solutions.

Keywords: reaction-diffusion-advection equations; symmetries; exact solutions; Lotka-Volterra funtctions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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