Results 241 to 250 of about 111,630 (280)

Poincare normal forms and Lie point symmetries

Journal of Physics A: Mathematical and General, 1994
Summary: We study Poincaré 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 Poincaré normal forms without ...
CICOGNA, GIAMPAOLO, Gaeta G.
openaire   +3 more sources

Lie Point Symmetries of Differential-Difference Equations

Communications in Theoretical Physics, 2004
Summary: 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
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources

Lie-point symmetries and stochastic differential equations

Journal of Physics A: Mathematical and General, 1999
The problem of Lie-point symmetries of stochastic differential equations is considered. The authors obtain explicit determining equations for the symmetries. It is also studied the associated Fokker-Planck equation, the symmetries of this and the relation between these and associated stochastic differential equations.
Gaeta, Giuseppe, Quintero, Niurka Rodríguez   +1 more
openaire   +2 more sources

Lie-point symmetries and stochastic differential equations: II

Journal of Physics A: Mathematical and General, 2000
[For part I see the author and \textit{N. R. Quintero}, ibid. 32, No. 48, 8485-8505 (1999; Zbl 0951.60064).] The author considers the problem of symmetries involving the spatial and time variables \((x,t)\) and the vector \(w(t)\) of the \(n\)-dimensional Itô equation \(dx^i=f^i (x,t)dt+ \sigma^i_k (x,t)dw^k(t)\). There are also studied the problems of
openaire   +2 more sources

Darboux Transformations via Lie Point Symmetries: KdV Equation

Chinese Physics Letters, 2014
By localizing the nonlocal symmetries of a nonlinear model to local symmetries of an enlarged system, we find Darboux-Backlund transformations for both the original and prolonged systems. The idea is explicitly realized for the well-known KdV equation.
Yu-Qi Li, Jun-Chao Chen, Yong Chen, Sen-Yue Lou   +3 more
openaire   +1 more source

Lie point-symmetries for autonomous systems and resonance

Journal of Physics A: Mathematical and General, 1992
Summary: We give some result on the problem of finding the Lie point-symmetries of autonomous systems of differential equations. In particular, we consider here the case in which the nonlinear terms are resonant (in the sense of the Poincaré procedure for reducing the system to normal form), and we show that Lie symmetries can be characterized in a ...
Cicogna, G., Gaeta, G.
openaire   +1 more source

Exact solutions to magnetogasdynamics using Lie point symmetries

Meccanica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bira, B., Sekhar, T. Raja
openaire   +1 more source

Lie-point symmetries in bifurcation problems

1992
The authors develop a theory of bifurcations of differential equations with Lie point symmetries. Viewing the differential equation as an ``algebraic equation'' on some jet bundle is the key of the analysis. The authors show how the well-known results of equivariant bifurcation theory can be formulated in this context and how the results carry over ...
CICOGNA, GIAMPAOLO, Gaeta G.
openaire   +2 more sources