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An alternative proof of Lie’s linearization theorem using a new λ-symmetry criterion

Published:2015-09 Issue:1-3 Volume:26 Page:45-51
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Al-Dweik Ahmad Y.,Mustafa M.T.,Mara’Beh Raed A.,Mahomed F.M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Numerical Analysis

Reference17 articles.

1. Lie S, Klassifikation und Integration von gewöhnlichen Differentialgleichungen zwischen x, y, die eine Gruppe von Transformationen gestatten. III, Archiv for Matematik og Naturvidenskab 8 (Kristiania, 1883), 371–458 [reprinted in Lie’s Gessammelte Abhandlundgen 5, 1924, paper XIV, 362–427].

2. Sur les invariants différentiels des groupes continus de transformations;Tressé;Acta Math,1894

3. Ordinary differential equations;Ibragimov,1996

4. Symmetry group classification of ordinary differential equations: Survey of some results;Mahomed;Math Method Appl Sci,2007

5. Linearization: geometric, complex and conditional;Qadir;J Appl Math,2012

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Closed form solution of nonlinear oscillation of a cantilever beam using λ-symmetry linearization criteria;Heliyon;2022-11

2. Projective Collineations of Decomposable Spacetimes Generated by the Lie Point Symmetries of Geodesic Equations;Symmetry;2021-06-06

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