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LIE POINT SYMMETRY FOR SPACE-FRACTIONAL POROUS MEDIUM EQUATION IN TERMS THE RIESZ-FRACTIONAL DERIVATIVE

Fernando de Souza Costa, André Seidel Oliveira, J. Vanterler da C. Sousa, Jaqueline Soares   +3 more
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On Lie point symmetries in mechanics

Il Nuovo Cimento B Series 11, 1992
We present some remarks on the existence and the properties of Lie point symmetries of finite dimensional dynamical systems expressed either in Newton-Lagrange or in Hamilton form. We show that the only Lie symmetries admitted by Newton-Lagrange-type problems are essentially linear symmetries, and construct the most general problem admitting such a ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Riemann's equation and Lie point symmetries

Physica Scripta, 2006
Riemann derived two equations for unsteady isentropic one-dimensional fluid flow which by means of a transformation can be conflated into a single equation. We perform a symmetry analysis of this equation and find that the number of Lie point symmetries is not what one would expect for an hyperbolic equation.
G. P. Flessas, P. G. L. Leach
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Poincare normal forms and Lie point symmetries

Journal of Physics A: Mathematical and General, 1994
We study Poincare normal forms of vector fields in the presence of symmetry under general-i.e. not necessarily linear-diffeomorphisms. We show that it is possible to reduce both the vector field and the symmetry diffeomorphism to normal form by means of an algorithmic procedure similar to the usual one for Poincare normal forms without symmetry; this ...
CICOGNA, GIAMPAOLO, Gaeta G.
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Lie-point symmetries and stochastic differential equations

Journal of Physics A: Mathematical and General, 1999
We discuss Lie-point symmetries of stochastic (ordinary) differential equations, and the interrelations between these and analogous symmetries of the associated Fokker-Planck equation for the probability measure.
Giuseppe Gaeta, Niurka R. Quintero
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Lie point-symmetries for autonomous systems and resonance

Journal of Physics A: Mathematical and General, 1992
The authors give some results on the problem of finding the Lie point-symmetries of autonomous systems of differential equations. In particular, they consider the case in which the nonlinear terms are resonant (in the sense of the Poincare procedure for reducing the system to normal form), and they show that Lie symmetries can be characterized in a ...
G Gaeta, G Cicogna
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Lie Point Symmetries of Differential-Difference Equations

Communications in Theoretical Physics, 2004
In this paper, the classical Lie group approach is extended to find some Lie point symmetries of differential-difference equations. It reveals that the obtained Lie point symmetries can constitute a Kac–Moody–Virasoro algebra.
Ding Wei, Tang Xiao-Yan, Tang Xiao-Yan
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Lie point-symmetries and Poincare normal forms for dynamical systems

Journal of Physics A: Mathematical and General, 1990
The problem of finding the extended Lie-point time-independent symmetries of autonomous systems of ordinary differential equations is compared with the Poincare procedure of reducing the system to linear or normal form, showing a close relationship between the two problems.
CICOGNA, GIAMPAOLO, Gaeta G.
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Exact solutions to magnetogasdynamics using Lie point symmetries

Meccanica, 2012
In the present work, we find some exact solutions to the first order quasilinear hyperbolic system of partial differential equations (PDEs), governing the one dimensional unsteady flow of inviscid and perfectly conducting compressible fluid, subjected to a transverse magnetic field.
T. Raja Sekhar, B. Bira
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