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Canonical Realizations of Lie Symmetry Groups

Journal of Mathematical Physics, 1966
A general theory of the realizations of Lie groups by means of canonical transformations in classical mechanics is given. The problem is the analog to that of the characterization of the projective representations in quantum mechanics considered by Wigner, Bargmann, and others in the case of the Galilei and the Lorentz group. However, no application to
Pauri, M., Prosperi, G. M.
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Solitons in Plasmas: A Lie Symmetry Approach

International Journal of Theoretical Physics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khalique, Chaudry Masood, Biswas, Anjan
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Lie symmetry analysis of the Heisenberg equation

Communications in Nonlinear Science and Numerical Simulation, 2017
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Zhonglong Zhao, Bo Han 0007
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Lie Symmetries and Exact Solutions of KdV–Burgers Equation with Dissipation in Dusty Plasma

Qualitative Theory of Dynamical Systems, 2022
Dig Vijay Tanwar, A. Wazwaz
semanticscholar   +1 more source

Lie–Bäcklund and Noether Symmetries with Applications

Nonlinear Dynamics, 1998
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Ibragimov, N. H.   +2 more
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Lie symmetries and reductions

2009
Abstract Phrases like ‘the unifying role of symmetry in . . . ‘ feature prominently in the popular science literature. Depending on the subject, the symmetry may be ‘cosmic’, ‘Platonic’, ‘perfect’, ‘broken’, or even ‘super’.
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Lie symmetries of Hirota’s bilinear equations

Journal of Mathematical Physics, 1991
The existence of Lie-point symmetries for a family of partial differential equations (PDEs) written in Hirota’s bilinear formalism is investigated. These equations have been studied in previous publications from the point of view of the existence of multisoliton solutions and also of the Painlevé property and are either known as integrable or good ...
Tamizhmani, K. M.   +2 more
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Lie symmetries of Schrödinger equation on a sphere

2023
Summary: We are going to discuss an object with a mass attached to a spring and vibrating on the surface of a sphere (see Figure 1). To do this, we first reconstruct the Schrodinger equation on a sphere. In fact, the paper considers the question of a quantum system obeying the Schrodinger equation on a sphere.
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