Work

An analysis of the nonlinearizable classes of Emden-Liénard equations

Year: 2025

Type: article

Abstract: We present a general method to construct first integrals for some classes of the well known second-order ordinary differential equations, viz., the Emden and Liénard classes of equations. The approach does not require a knowledge of a Lagrangian but, rather, uses the ‘multiplier approach’ [1, 2]. It is then shown how a study of the invariance properties and conservation laws are used to ‘twice’ reduce the equations to solutions. In this paper, we restrict our work to the nonlinearizable cases.

Source: Afrika Matematika

DOI: 10.1007/s13370-025-01279-9

Authors: M. Ahmed, A. H. Kara

Institution: University of the Witwatersrand

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: $3,290

OpenAlex ID: W4408426214

FWCI:

Cites: 9

Cited by:

Related to: 10