Dissimilar subalgebras of symmetry algebra of plasticity equations
SI Senashov, A Yakhno - Journal of Symbolic Computation, 2025 - Elsevier
In this paper we construct the optimal sets of dissimilar subalgebras up to dimension three
for the Lie algebra of point symmetries of the system of three-dimensional stationary …
for the Lie algebra of point symmetries of the system of three-dimensional stationary …
Symmetries of the Eikonal equation
R Ghanam, G Thompson - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
The infinitesimal algebra of Lie symmetries of the Eikonal equation is shown to be
isomorphic to o (n+ 1, 2) when there are n independent variables. An explicit basis is found …
isomorphic to o (n+ 1, 2) when there are n independent variables. An explicit basis is found …
Equality of the algebraic and geometric ranks of Cartan subalgebras and applications to linearization of a system of ordinary differential equations
H Azad, I Biswas, FM Mahomed - International Journal of …, 2017 - World Scientific
If L is a semisimple Lie algebra of vector fields on ℝ N with a split Cartan subalgebra C, then
it is proved here that the dimension of the generic orbit of C coincides with the dimension of …
it is proved here that the dimension of the generic orbit of C coincides with the dimension of …
Invariant Solutions of the Wave Equation on Static Spherically Symmetric Spacetimes Admitting G7 Isometry Algebra
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 …
given. These algorithms are applied to determine the Lie algebra structure and optimal …
A constructive method for decomposing real representations
A constructive method for decomposing real representations - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download …
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Symmetry Algebras of the Canonical Lie Group Geodesic Equations in Dimension Five
H Almusawa - 2020 - scholarscompass.vcu.edu
Nowadays, there is much interest in constructing exact analytical solutions of differential
equations using Lie symmetry methods. Lie devised the method in the 1880s. These …
equations using Lie symmetry methods. Lie devised the method in the 1880s. These …
Optimal Systems and Invariant Solutions of the Wave Equation on Spherically Symmetric Spacetimes Admitting the Isometry Groups G7
K Anaya - 2017 - search.proquest.com
The focus of this work is to investigate the wave equations in spherically symmetric
spacetimes admitting the isometry groups G 7. Optimal systems up to threedimensional …
spacetimes admitting the isometry groups G 7. Optimal systems up to threedimensional …