Generalized Thomas-Fermi equations as the Lampariello class of Emden-Fowler equations

DOI10.1016/J.PHYSA.2016.12.007zbMath1400.34062arXiv1607.07072OpenAlexW2550199884MaRDI QIDQ1620455

Haret C. Rosu, Stefan C. Mancas

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07072

zbMATH Keywords

dynamical systemsinvariantEmden-Fowler equationAbel equationgeneralized Thomas-Fermi equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34)

Related Items (4)

Generalized Emden-Fowler equations in noncentral curl forces and first integrals ⋮ Parametrization of solutions to the Emden-Fowler equation and the Thomas-Fermi model of compressed atoms ⋮ Generalized Emden-Fowler equations related to constant curvature surfaces and noncentral curl forces ⋮ Relativistic formulation of noncentral curl force and relativistic Emden-Fowler type equations

Cites Work

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• Some aspects of the Thomas-Fermi equation
• Integrable Abel equations and Vein's Abel equation
• FURTHER STUDIES OF EMDEN'S AND SIMILAR DIFFERENTIAL EQUATIONS
• Ermakov-Lewis invariants and Reid systems

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