Results 21 to 30 of about 710,480 (295)

Rigid body trajectories in different 6D spaces [PDF]

open access: yes, 2012
The objective of this paper is to show that the group SE(3) with an imposed Lie-Poisson structure can be used to determine the trajectory in a spatial frame of a rigid body in Euclidean space.
Biggs, James   +6 more
core   +3 more sources

Some General New Einstein Walker Manifolds

open access: yesAdvances in Mathematical Physics, 2013
Lie symmetry group method is applied to find the Lie point symmetry group of a system of partial differential equations that determines general form of four-dimensional Einstein Walker manifold.
Mehdi Nadjafikhah, Mehdi Jafari
doaj   +1 more source

Gauging Lie group symmetry in (2+1)d topological phases

open access: yesSciPost Physics, 2023
We present a general algebraic framework for gauging a 0-form compact, connected Lie group symmetry in (2+1)d topological phases. Starting from a symmetry fractionalization pattern of the Lie group $G$, we first extend $G$ to a larger symmetry group ...
Meng Cheng, Po-Shen Hsin, Chao-Ming Jian
doaj   +1 more source

Lie 2-algebra models [PDF]

open access: yes, 2014
In this paper, we begin the study of zero-dimensional field theories with fields taking values in a semistrict Lie 2-algebra. These theories contain the IKKT matrix model and various M-brane related models as special cases.
Saemann, Christian; id_orcid   +3 more
core   +1 more source

Highly Dispersive Optical Solitons in the Absence of Self-Phase Modulation by Lie Symmetry [PDF]

open access: yes, 2023
The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed by the implementation of the Riccati equation approach and the improved modified extended tanh-function approach.
Sachin Kumar   +15 more
core   +1 more source

Invariant solutions and conservation laws of time-dependent negative-order (vnCBS) equation [PDF]

open access: yesJournal of Mahani Mathematical Research
We apply the basic Lie symmetry method to investigate the time-dependent negative-order Calogero-Bogoyavlenskii-Schiff (vnCBS) equation‎. ‎In this case‎, ‎the symmetry classification problem is answered‎.
Yadollah AryaNejad, Asma Khalili
doaj   +1 more source

Comparison between solutions of a two-dimensional time-fractional diffusion-reaction equation through Lie symmetries

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2021
In this paper, exact and numerical solutions of two dimensional time-fractional diffusion-reaction equation involving the Riemann-Liouville derivative are determined, by applying a procedure that combines the Lie symmetry analysis with the numerical ...
Alessandra Jannelli   +1 more
doaj   +1 more source

Lie symmetries applied to interval integration

open access: yesAutomatica, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Julien Damers, Luc Jaulin, Simon Rohou
openaire   +3 more sources

Lie symmetries and conserved quantities of fractional nonconservative singular systems

open access: yesInternational Journal of Mechanical System Dynamics, 2023
In this paper, according to the fractional factor derivative method, we study the Lie symmetry theory of fractional nonconservative singular Lagrange systems in a configuration space.
Mingliang Zheng
doaj   +1 more source

ℤ³₂-Graded Extensions of Lie Superalgebras and Superconformal Quantum Mechanics [PDF]

open access: yes, 2021
Quantum mechanical systems whose symmetry is given by the ℤ³₂-graded version of superconformal algebra are introduced. This is done by finding a realization of a ℤ³₂-graded Lie superalgebra in terms of a standard Lie superalgebra and the Clifford algebra.
Aizawa, Naruhiko, Doi, Shunya
core   +1 more source

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