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Symmetry Analysis and Conservation Laws for a Time-Fractional Generalized Porous Media Equation
Mathematics, 2022 The symmetry group method is applied to study a class of time-fractional generalized porous media equations with Riemann–Liouville fractional derivatives. All point symmetry groups and the corresponding optimal subgroups are determined.
Tianhang Gong, Wei Feng, Songlin Zhao
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Mathematics, 2022 In this paper, a time-fractional derivative nonlinear Schrödinger equation involving the Riemann–Liouville fractional derivative is investigated. We first perform a Lie symmetry analysis of this equation, and then derive the reduced equations under the ...
Fan Qin, Wei Feng, Songlin Zhao
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Symmetries, Group Actions, and Entanglement [PDF]
Open Systems & Information Dynamics, 2006 We address several problems concerning the geometry of the space of Hermitian operators on a finite-dimensional Hilbert space, in particular the geometry of the space of density states and canonical group actions on it. For quantum composite systems we discuss and give examples of entanglement measures.
Janusz Grabowski +2 more
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Holonomy groups andW-symmetries [PDF]
Communications in Mathematical Physics, 1993 Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions.
Howe, P. S., Papadopoulos, G.
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Structure of symmetry group of some composite links and some applications
Applied General Topology, 2020 In this paper, we study the symmetry group of a type of composite topological links, such as 22m#22 . We have done a complete analysis on the elements of the symmetric group of this link and show the structure of the group. The results can be generalized
Yang Liu
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Application of a permutation group on sasirangan pattern
Desimal, 2021 A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati +3 more
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The Basis Invariant of Generalized n-Cube Symmetries Group with Odd Degrees
Mathematics, 2021 The basis polynomial invariants with even degrees relatively to the symmetries group were described in cited literature. Here, the polynomial invariants with odd degrees are constructed.
Marina Bershadsky, Božidar Ivanković
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Symmetry induced group consensus [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2019 There has been substantial work studying consensus problems for which there is a single common final state, although there are many real-world complex networks for which the complete consensus may be undesirable. More recently, the concept of group consensus whereby subsets of nodes are chosen to reach a common final state distinct from others has been
Isaac Klickstein +2 more
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Group symmetry and covariance regularization [PDF]
Electronic Journal of Statistics, 2012 Statistical models that possess symmetry arise in diverse settings such as random fields associated to geophysical phenomena, exchangeable processes in Bayesian statistics, and cyclostationary processes in engineering. We formalize the notion of a symmetric model via group invariance.
Shah, Parikshit, Chandrasekaran, Venkat
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Calculating the symmetry of hexamethylcyclohexane
Macedonian Journal of Chemistry and Chemical Engineering, 2007 An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and ...
Ahmad Gholami +2 more
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