Results 101 to 110 of about 530,977 (309)

Group Analysis of the Novikov Equation

open access: yes, 2012
We find the Lie point symmetries of the Novikov equation and demonstrate that it is strictly self-adjoint. Using the self-adjointness and the recent technique for constructing conserved vectors associated with symmetries of differential equations, we ...
A Degasperis   +23 more
core   +1 more source

Invariant Solutions and Conservation Laws of the Variable-Coefficient Heisenberg Ferromagnetic Spin Chain Equation

open access: yesFrontiers in Physics, 2020
The variable-coefficient Heisenberg ferromagnetic spin chain (vcHFSC) equation is investigated using the Lie group method. The infinitesimal generators and Lie point symmetries are reported.
Na Liu, Na Liu
doaj   +1 more source

Some general new Einstein Walker manifolds

open access: yes, 2012
In this paper, Lie symmetry group method is applied to find the lie point symmetries group of a PDE system that is determined general form of four-dimensional Einstein Walker manifold.
Jafari, Mehdi, Nadjafikhah, Mehdi
core   +2 more sources

Dislocation‐Induced Local and Global Photoconductivity Enhancement and Mechanisms in Iron‐Doped SrTiO3

open access: yesAdvanced Functional Materials, Volume 35, Issue 13, March 25, 2025.
Introducing a high density of dislocations led to an increase in photoconductivity by more than one order of magnitude in Fe‐doped SrTiO3. Detailed analysis, focusing on the quantum paraelectric state, reveals that increased photoconductivity results from a higher charge carrier generation rate due to new energy states induced by dislocations, possibly
Mehrzad Soleimany   +3 more
wiley   +1 more source

Conformation‐Driven Nickel Redox States and Magnetism in 2D Metal–organic Frameworks

open access: yesAdvanced Functional Materials, Volume 35, Issue 13, March 25, 2025.
Conformational flexibility in the Ni‐TCNQ framework drives variations in the ligand field, resulting in different hybridization pathways between the Ni 3d orbitals and the π‐symmetric molecular orbitals of the TCNQ. This leads to the coexistence of Ni(I) in a planar configuration and low‐spin Ni(II) in a twisted one, each with different spin ...
Yan Yan Grisan Qiu   +12 more
wiley   +1 more source

Symmetries and exact solutions of Einstein field equations for perfect fluid distribution and pure radiation fields [PDF]

open access: yesMaejo International Journal of Science and Technology, 2013
Lie group formalism is applied to Einstein field equations for perfect fluid distribution and pure radiation fields in the investigation of symmetries and exact solutions. The similarity reductions are obtained by determining the complete sets of point
Lakhveer Kaur
doaj  

Algebraic aspects of evolution partial differential equation arising in the study of constant elasticity of variance model from financial mathematics

open access: yesOpen Physics, 2018
The optimal investment-consumption problem under the constant elasticity of variance (CEV) model is investigated from the perspective of Lie group analysis. The Lie symmetry group of the evolution partial differential equation describing the CEV model is
Motsepa Tanki   +3 more
doaj   +1 more source

Global Actions of the Lie Symmetries of the Nonlinear Filtration Equation [PDF]

open access: yesarXiv, 2014
The classification of the Lie point symmetries of the nonlinear filtration equation gives the generic case and three special cases. By restricting to a special class of functions, we show that the Lie symmetries of the nonlinear filtration equation exponentiate to a global action of a solvable Lie group in the generic case and two of the three special ...
arxiv  

A complete Lie symmetry classification of a class of (1+2)-dimensional reaction-diffusion-convection equations [PDF]

open access: yesarXiv, 2020
A class of nonlinear reaction-diffusion-convection equations describing various processes in physics, biology, chemistry etc. is under study in the case of time and two space variables. The group of equivalence transformations is constructed, which is applied for deriving a Lie symmetry classification for the class of such equations by the well-known ...
arxiv  

Lie point symmetries of a general class of PDEs: The heat equation

open access: yesJournal of Geometry and Physics, 2012
We give two theorems which show that the Lie point and the Noether symmetries of a second-order ordinary differential equation of the form (D/(Ds))(((Dx^{i}(s))/(Ds)))=F(x^{i}(s),x^{j}(s)) are subalgebras of the special projective and the homothetic algebra of the space respectively.
Paliathanasis, A., Tsamparlis, M.
openaire   +2 more sources

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