Symmetries and Lie Algebra of Ramanujan Equation
Exactly Solvable and Integrable Systems
2023-02-14 v1
Abstract
Symmetry analysis of Ramanujan's system of differential equations is performed by representing it as a third-order equation. A new system consisting of a second-order and a first-order equation is derived from Ramanujan's system. The Lie algebra of the new system is equivalent to the algebra of the third-order equation. This forms the basis of our intuition that for a system of first-order odes its infinite-dimensional algebra of symmetries contains a subalgebra which is a representation of the Lie algebra for any system or differential equation which can be obtained from the original system, even though the transformations are not point.
Keywords
Cite
@article{arxiv.2302.05712,
title = {Symmetries and Lie Algebra of Ramanujan Equation},
author = {Amlan K Halder and Rajeswari Seshadri and R Sinuvasan and PGL Leach},
journal= {arXiv preprint arXiv:2302.05712},
year = {2023}
}
Comments
7 pages