Results 51 to 60 of about 2,411,038 (347)
Lie Group Analysis of a Flow with Contaminant-Modified Viscosity
Journal of Applied Mathematics, 2007 A class of coupled system of diffusion equations is considered. Lie group techniques resulted in a rich array of admitted point symmetries for special cases of the source term.
Raseelo J. Moitsheki
doaj +1 more source
Advances in Difference Equations, 2019 We investigate the point symmetries, Lie–Bäcklund symmetries for a type of dispersive water waves. We obtain some Lie transformation groups, various group-invariant solutions, and some similarity solutions.
Yufeng Zhang, Na Bai, Hongyang Guan
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Wheeler–DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology [PDF]
, 2016 Lie symmetries are discussed for the Wheeler-De Witt equation in Bianchi Class A cosmologies. In particular, we consider general relativity, minimally coupled scalar-field gravity and hybrid gravity as paradigmatic examples of the approach.
A. Paliathanasis +3 more
semanticscholar +1 more source
$\mathbb{Z}_2\times \mathbb{Z}_2$-graded Lie symmetries of the Lévy-Leblond equations [PDF]
, 2016 The first-order differential L\'evy-Leblond equations (LLE's) are the non-relativistic analogs of the Dirac equation, being square roots of ($1+d$)-dimensional Schr\"odinger or heat equations.
N. Aizawa +3 more
semanticscholar +1 more source
Lie symmetries and Noether symmetries
Applicable Analysis and Discrete Mathematics, 2012 We demonstrate that so-called nonnoetherian symmetries with which a known first integral is associated of a differential equation derived from a Lagrangian are in fact noetherian. The source of the misunderstanding lies in the nonuniqueness of the Lagrangian.
openaire +2 more sources
Reduction of Symplectic Lie Algebroids by a Lie Subalgebroid and a Symmetry Lie Group
Symmetry, Integrability and Geometry: Methods and Applications, 2007 This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portugal), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
Iglesias, D. +4 more
openaire +6 more sources
Artificial molecular machines and motors—Design and control of nanoscale motion
FEBS Letters, EarlyView.Molecules are constantly moving because of thermal fluctuations, but random motion alone cannot be exploited to perform directional tasks. Artificial molecular machines use chemical, electrical, or light energy to bias this motion. Molecular shuttles, rotary motors, and supramolecular pumps illustrate how nanoscale movement can be controlled and ...
Leonardo Andreoni, Alberto Credi
wiley +1 more source
Dynamical versus variational symmetries: understanding Noether's first theorem [PDF]
, 2004 It is argued that awareness of the distinction between dynamical and variational symmetries is crucial to understanding the significance of Noether's 1918 work.
Holland, Peter, Brown, Harvey R.
core
Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries [PDF]
, 2019 We study Jacobi-Lie Hamiltonian systems admitting Vessiot-Guldberg Lie algebras of Hamiltonian vector fields related to Jacobi structures on real low-dimensional Jacobi-Lie groups. Also, we find some examples of Jacobi-Lie Hamiltonian systems on real two-
Amirzadeh-Fard, H. +2 more
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Lie symmetry and exact homotopic solutions of a non-linear double-diffusion problem
Frontiers in Physics, 2023 The Lie symmetry method is applied, and exact homotopic solutions of a non-linear double-diffusion problem are obtained. Additionally, we derived Lie point symmetries and corresponding transformations for equations representing heat and mass transfer in ...
R. A. Khan +5 more
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