Results 181 to 190 of about 111,509 (220)

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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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
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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
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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
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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.
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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
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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.
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Lie Point Symmetries and Dynamical Systems

1993
The notion and the peculiar properties of Lie point symmetries in the context of first-order time evolution ODE are examined, also in comparison with different situations (e.g. PDE, Hamiltonian problems). We obtain in particular that Lie symmetries provide an extension to the nonlinear case of a useful “reduction lemma”, and some applications ...
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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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Lie Point Symmetries and Exact Solutions of Couple KdV Equations

Communications in Theoretical Physics, 2007
Summary: The simple Lie point symmetry reduction procedure is used to obtain infinitely many symmetries to a new integrable system of coupled KdV equations. Using some symmetry subalgebra of the equations, five types of the significant similarity reductions are obtained by virtue of the Lie group approach, and obtain abundant solutions of the coupled ...
Qian, Su-Ping, Tian, Li-Xin
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