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

Author

Listed:
  • Mariano Torrisi

    (Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria, 6, 95125 Catania, Italy
    These authors contributed equally to this work.)

  • Rita Tracinà

    (Dipartimento di Matematica e Informatica, Università Degli Studi di Catania, Viale Andrea Doria, 6, 95125 Catania, Italy
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Mariano Torrisi & Rita Tracinà, 2022. "Symmetries and Solutions for a Class of Advective Reaction-Diffusion Systems with a Special Reaction Term," Mathematics, MDPI, vol. 11(1), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2022:i:1:p:160-:d:1018101
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