Two nonlinear days in Urbino 2017. Electron. J. Diff. Eqns., Conference 25 (2018), pp. 133-147.

Approximate Q-conditional symmetries of partial differential equations

Matteo Gorgone, Francesco Oliveri

Abstract:
Following a recently introduced approach to approximate Lie symmetries of differential equations which is consistent with the principles of perturbative analysis of differential equations containing small terms, we analyze the case of approximate Q-conditional symmetries. An application of the method to a hyperbolic variant of a reaction-diffusion-convection equation is presented.

Published September 15, 2018.
Math Subject Classifications: 34E10, 35C06, 35C20, 58J37, 58J70
Key Words: Approximate Lie symmetries; conditional Lie symmetries; reaction-diffusion-convection equation; reaction-transport equation.

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Matteo Gorgone
Department of Mathematical and Computer Sciences,
Physical Sciences and Earth Sciences (MIFT)
University of Messina
viale F. Stagno d'Alcontres 31, 98166 Messina, Italy
email: matteo.gorgone@unime.it
Francesco Oliveri
Department of Mathematical and Computer Sciences
Physical Sciences and Earth Sciences (MIFT)
University of Messina
viale F. Stagno d'Alcontres 31, 98166 Messina, Italy
email: francesco.oliveri@unime.it

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