Group analysis for generalized reaction-diffusion convection equation
Mehdi Nadjafikhah, Saeed Dodangeh
TL;DR
This paper applies symmetry and group analysis techniques to classify and find similarity solutions for a generalized reaction-diffusion convection equation, extending methods used for classical equations like KPP.
Contribution
It introduces a comprehensive group classification for the generalized RDC equation using Lie symmetry methods, providing new similarity solutions.
Findings
Complete group classification of the generalized RDC equation
Derivation of new similarity solutions
Extension of classical methods to more general equations
Abstract
symmetry, group classification, differential invariants, Lie-classical method,infinitesimal criterion method, RDC equation, KPP equation, similarity solutions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Differential Equations and Numerical Methods