On the symmetries of the modified Emden-type equation

2013/04/22 by Amitava Choudhuri, Mondal, Subhra, Choudhuri, Amitava
Chemistry · Physics and Astronomy · #70G65 #70G75 #70H33 #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1304.5826

openalex publication_date 2013/04/22 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

For an autonomous system the symmetries of the Lagrangian are embedded in the symmetries of the differential equation. Recently, it has been found that the modified Emden-type equations follow from non-standard Lagrangian functions which involve neither the kinetic energy term nor the potential function. By working with one such Lagrangian we have calculated the Lagrangian symmetries and explicitly demonstrated that, as in the case of standard Lagrangian functions, the variational symmetries of the non-standard Lagrangian are also included in the Lie symmetries of the differential equation.

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