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

Autor: Mariano Torrisi, Rita Tracinà
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics, Vol 11, Iss 1, p 160 (2022)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math11010160
Popis: 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.
Databáze: Directory of Open Access Journals
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