Results 101 to 110 of about 530,977 (309)
Group Analysis of the Novikov Equation
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
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
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
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
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]
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
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]
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]
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
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