Journal of Lie Theory

no. 3
On Computing Linearizing Coordinates from the Symmetry Algebra
Journal of Lie Theory, Volume 31 (2021) no. 3, pp. 625-635
A characterization of the symmetry algebra of the Nth-order ordinary differential equations (ODEs) with maximal symmetry and all third-order linearizable ODEs is given. This is used to show that such an algebra g determines -- up to a point transformation -- only one linear equation whose symmetry algebra is g and an algorithmic procedure is given to find the linearizing coordinates. This procedure is applied to several examples from the literature.
DOI: 10.5802/jolt.1189
Classification: 34A26, 37C10, 57R30
Keywords: Ordinary differential equations, linearization, vector fields, Lie algebras 
@article{JOLT_2021_31_3_a1,
     author = {S. Ali and H. Azad and S. W. Shah and F. M. Mahomed},
     title = {On {Computing} {Linearizing} {Coordinates} from the {Symmetry} {Algebra}},
     journal = {Journal of Lie Theory},
     pages = {625--635},
     year = {2021},
     volume = {31},
     number = {3},
     doi = {10.5802/jolt.1189},
     zbl = {1471.34069},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1189/}
}
TY  - JOUR
AU  - S. Ali
AU  - H. Azad
AU  - S. W. Shah
AU  - F. M. Mahomed
TI  - On Computing Linearizing Coordinates from the Symmetry Algebra
JO  - Journal of Lie Theory
PY  - 2021
SP  - 625
EP  - 635
VL  - 31
IS  - 3
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1189/
DO  - 10.5802/jolt.1189
ID  - JOLT_2021_31_3_a1
ER  - 
%0 Journal Article
%A S. Ali
%A H. Azad
%A S. W. Shah
%A F. M. Mahomed
%T On Computing Linearizing Coordinates from the Symmetry Algebra
%J Journal of Lie Theory
%D 2021
%P 625-635
%V 31
%N 3
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1189/
%R 10.5802/jolt.1189
%F JOLT_2021_31_3_a1
S. Ali; H. Azad; S. W. Shah; F. M. Mahomed. On Computing Linearizing Coordinates from the Symmetry Algebra. Journal of Lie Theory, Volume 31 (2021) no. 3, pp. 625-635. doi: 10.5802/jolt.1189

Cited by Sources: