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Time scaling as an infinitesimal canonical transformation

Celestial Mechanics, 1987
We show that time scaling transformations for Hamiltonian systems are infinitesimal canonical transformations in a suitable extended phase space constructed from geometrical considerations. We compute its infinitesimal generating function in some examples: regularization and blow up in celestial mechanics, classical mechanical systems with homogeneous ...
J. Cariñena, L. A. Ibort, E. Lacomba
semanticscholar   +3 more sources

Infinitesimal Lorentz Transformation

American Journal of Physics, 1967
By means of a series of arguments, a general Lorentz transformation is derived in the infinitesimal. This gives the generators of the group, and exponentiation produces a finite transformation.
exaly   +2 more sources

Geometry of Infinitesimal Harmonic Transformations

Annals of Global Analysis and Geometry, 2003
The vector field \(\xi\) is an infinitesimal harmonic transformation in a Riemannian manifold \((M, g)\) if the local one-parameter group of infinitesimal point transformations generated by the vector field \(\xi\) is a group of harmonic transformations.
Stepanov, Sergey E., Shandra, Igor G.
openaire   +1 more source

Infinitesimal F-planar transformations

Russian Mathematics, 2008
Let us consider a symmetric linear connection and \(F\), a tensor field of \((1,1)\)-type on a manifold \(A_n\). An infinitesimal transformation of \(A_n\) is called \(F\)-\textit{planar} it it maps \(F\)-planar curves onto curves which are \(F\)-planar in their principal parts.
Hinterleitner, I.   +2 more
openaire   +1 more source

A novel (3+1)-dimensional sine-Gorden and a sinh-Gorden equation: Derivation, symmetries and conservation laws

Applied Mathematics Letters, 2021
In this paper, a novel (3+1)-dimensional sin-Gorden and sinh-Gorden eqaution are derived. These two equations are derived for the first time from the extended (3+1) dimensional zero curvature equation, using the compatibility condition.
Gangwei Wang
semanticscholar   +1 more source

Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

, 2020
In this article, the Lie group of transformation method via one-dimensional optimal system is proposed to obtain some more exact solutions of the (4+1)-dimensional Fokas equation.
Sachin Kumar   +2 more
semanticscholar   +1 more source

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