Symmetries of 2nd order ODE: y'' + G(x)y' + H(x)y = 0
Mehdi Nadjafikhah, Seyed-Reza Hejazi
TL;DR
This paper investigates the Lie algebra of linear symmetries for homogeneous second-order ordinary differential equations using a specific method, enhancing understanding of their symmetry structures.
Contribution
It applies the Kushner, Lychagin, and Robstov method to analyze symmetries of second-order linear ODEs, providing new insights into their algebraic structure.
Findings
Characterization of the Lie algebra of symmetries
Identification of symmetry conditions for specific equations
Extension of symmetry analysis techniques
Abstract
This paper is devoted to study the Lie algebra of linear symmetries of a homogenous 2nd order ODE, by the method of Kushner, Lychagin and Robstov.
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Taxonomy
TopicsNonlinear Waves and Solitons