Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The S-function method-Reference-Cited by-同舟云学术

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Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The S-function method

Published:2019-01 Issue: Volume:234 Page:302-314
ISSN:0010-4655
Container-title:Computer Physics Communications
language:en
Short-container-title:Computer Physics Communications

Author:

Avellar J.,Cardoso M.S.,Duarte L.G.S.,da Mota L.A.C.P.

Funder

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Publisher

Elsevier BV

Subject

General Physics and Astronomy,Hardware and Architecture

Reference51 articles.

1. Theorie der Transformationsgruppen, Vol. I, II, III;Lie,1970

2. Symmetries and Integration Methods for Differential Equations;Bluman,2002

3. Elementary Lie Group Analysis and Ordinary Differential Equations;Ibragimov,1999

4. Applications of Lie Groups to Differential Equations;Olver,1986

Cited by 4 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. An efficient way to determine Liouvillian first integrals of rational second order ordinary differential equations;Computer Physics Communications;2024-05

2. First integrals and exact solutions of a class of nonlinear systems;Acta Mechanica;2023-03-24

3. A generalization of the S-function method applied to a Duffing–Van der Pol forced oscillator;Computer Physics Communications;2020-09

4. An Investigation of Solving Third-Order Nonlinear Ordinary Differential Equation in Complex Domain by Generalising Prelle–Singer Method;International Journal of Differential Equations;2020-03-17

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