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Canonical Realizations of Lie Symmetry Groups
Journal of Mathematical Physics, 1966A 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, 2009zbMATH 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, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2022Dig Vijay Tanwar, A. Wazwaz
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Lie–Bäcklund and Noether Symmetries with Applications
Nonlinear Dynamics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ibragimov, N. H. +2 more
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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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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, 1991The 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
2023Summary: 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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