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arXiv · 2302.05712

Symmetries and Lie Algebra of Ramanujan Equation

Amlan K Halder·Rajeswari Seshadri·R Sinuvasan·PGL Leach
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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.

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Amlan K Halder, Rajeswari Seshadri, R Sinuvasan, PGL Leach. 2023-02-11. Symmetries and Lie Algebra of Ramanujan Equation. https://arxiv.org/abs/2302.05712

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