First-Order Approximate Mei Symmetries and Invariants of the Lagrangian

Umara Kausar and Tooba Feroze
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Umara Kausar: School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan
Tooba Feroze: School of Natural Sciences, National University of Sciences and Technology, Sector H-12, Islamabad 44000, Pakistan

Mathematics, 2022, vol. 10, issue 4, 1-9

Abstract: In this article, the formulation of first-order approximate Mei symmetries and Mei invariants of the corresponding Lagrangian is presented. Theorems and determining equations are given to evaluate approximate Mei symmetries, as well as approximate first integrals corresponding to each symmetry of the associated Lagrangian. The formulated procedure is explained with the help of the linear equation of motion of a damped harmonic oscillator (DHO). The Mei symmetries corresponding to the Lagrangian and Hamiltonian of DHO are compared.

Keywords: exact Mei symmetries; Lie symmetries; Lagrangian (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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