On the Lane-Emden system in dimension one

DOI10.1016/J.AMC.2012.04.033zbMath1272.34045OpenAlexW2069268454MaRDI QIDQ450313

Igor Leite Freire, Yuri Dimitrov Bozhkov

Publication date: 13 September 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.033

zbMATH Keywords

Noether symmetrygroup classificationLie symmetryLane-Emden system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (5)

Symmetry analysis of a Lane-Emden-Klein-Gordon-Fock system with central symmetry ⋮ Comparison of different approaches to construct first integrals for ordinary differential equations ⋮ Group analysis of a hyperbolic Lane-Emden system ⋮ Lie Group Classification for a Generalised Coupled Lane-Emden System in Dimension One ⋮ The group classification of Lane-Emden systems

Cites Work

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• First integrals for a generalized coupled Lane-Emden system
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• Nondegeneracy of positive solutions to homogeneous second-order differential systems and its applications
• A new conservation theorem
• Noether, partial Noether operators and first integrals for the coupled Lane-Emden system
• Symmetry and integration methods for differential equations
• Integrating factors, adjoint equations and Lagrangians
• Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries

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