5 papers · 1 filter
Hierarchy of coupled Burgers-like equations induced by conditional symmetries
M. Gorgone, F. Oliveri, E. Sgroi
It is known that -conditional symmetries of the classical Burgers' equation express in terms of three functions satisfying a coupled system of Burgers-like equations. The search…
Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation
M. Gorgone, F. Oliveri
Within the theoretical framework of a recently introduced approach to approximate Lie symmetries of differential equations containing small terms, which is consistent with the prin…
Direct approach to approximate conservation laws
M. Gorgone, G. Inferrera
In this paper, non-variational systems of differential equations containing small terms are considered, and a consistent approach for deriving approximate conservation laws through…
Two-dimensional equilibrium configurations in Korteweg fluids
M. Gorgone, F. Oliveri, A. Ricciardello +1
In this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium probl…
Approximate Noether symmetries of perturbed Lagrangians and approximate conservation laws
M. Gorgone, F. Oliveri
In this paper, within the framework of the consistent approach recently introduced for approximate Lie symmetries of differential equations, we consider approximate Noether symmetr…