Work

Study of the Emden–Fowler differential equation by complete classification of symmetry groups and dynamical analysis

Year: 2025

Type: article

Abstract: The Emden–Fowler equation is a fundamental model in various fields of physics. In this work, we generalize this equation and conduct a thorough investigation of its symmetries and dynamical properties. Our results include a complete classification of the symmetry group, the derivation of the Lagrangian and conservation laws, and the computation of invariant solutions. By combining global and local analysis, we provide a comprehensive understanding of the dynamics of the reduced equations.

Source: SeMA Journal

DOI: 10.1007/s40324-025-00409-4

Authors: Germán F. Escobar F., Oscar M. Londoño D., Sebastian Nuñez T., Kevyn A. Cuenca E.

Institutions: Universidad Surcolombiana, Universidad Santiago de Cali

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funder: Universidad Santiago de Cali