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Time scaling as an infinitesimal canonical transformation
Celestial Mechanics, 1987We 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
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Infinitesimal Lorentz Transformation
American Journal of Physics, 1967By 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.
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Infinitesimal transformation for hyperspherical functions and Moshinsky coefficients
Nuclear Physics A, 1973J. Raynal
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Two-band k.p Hamiltonian of phosphorene based on the infinitesimal basis transformations approach
Superlattices and Microstructures, 2017Narges Kafaei, Mohammad Sabaeian
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An infinitesimal renormalisation-group transformation for the site percolation problem
Journal of Physics C: Solid State Physics, 1980B. Shapiro
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Geometry of Infinitesimal Harmonic Transformations
Annals of Global Analysis and Geometry, 2003The 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.
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Infinitesimal F-planar transformations
Russian Mathematics, 2008Let 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
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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
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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
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, 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
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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

