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Embedding algorithms and applications to differential equations
(
Academic Press
, 2018 , Article)
Algorithms for embedding certain types of nilpotent subalgebras in maximal subalgebras of the same type are developed, using methods of real algebraic groups. These algorithms are applied to determine non-conjugate subalgebras ...
Linearization of third-order ordinary differential equations u'''=f(x,u,u',u') via point transformations
(
John Wiley and Sons Ltd
, 2018 , Article)
The linearization problem for scalar third-order ordinary differential equations via point transformations was solved partially in the works of Al-Dweik et al by the use of the Cartan equivalence method. In order to solve ...
Analysis of ferrite nanoparticles in the flow of ferromagnetic nanofluid
(
Public Library of Science
, 2018 , Article)
Theoretical analysis has been carried out to establish the heat transport phenomenon of six different ferromagnetic MnZnFe2O4-C2H6O2 (manganese zinc ferrite-ethylene glycol), NiZnFe2O4-C2H6O2 (Nickel zinc ferrite-ethylene ...
Quantization of the Szekeres system
(
Institute of Physics Publishing
, 2018 , Article)
We study the quantum corrections on the Szekeres system in the context of canonical quantization in the presence of symmetries. We start from an effective point-like Lagrangian with two integrals of motion, one corresponding ...
Invariant solutions of the Wave equation on static spherically symmetric spacetimes admitting G7 isometry algebra
(
MDPIAG
, 2018 , Article)
Algorithms to construct the optimal systems of dimension of at most three of Lie algebras are given. These algorithms are applied to determine the Lie algebra structure and optimal systems of the symmetries of the wave ...
Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra
(
John Wiley and Sons Ltd
, 2018 , Article)
The Cartan equivalence method is used to deduce an invariant characterization of the scalar third-order ordinary differential equation u"' = f(x, u, u', u"), which admits the maximal 7-dimensional point symmetry Lie algebra. ...
Magnetohydrodynamic bio-convection flow of Oldroyd-B nanofluid past a melting sheet with cross diffusion
(
American Scientific Publishers
, 2018 , Article)
The boundary layer flow across a melting surface has gotten awesome consideration due to its inexhaustible pragmatic applications in nuclear reactor technology, acoustical components, chemical and manufacturing procedures. ...
Classification of the Lie and Noether point symmetries for the Wave and the Klein–Gordon equations in pp-wave spacetimes
(
Elsevier B.V.
, 2018 , Article)
A complete classification of the Lie and Noether point symmetries for the Klein–Gordon and the wave equation in pp-wave spacetimes is obtained. The classification analysis is carried out by reducing the problem of the ...