All solutions of the n = 5 Lane–Emden equation

DOI10.1063/1.4725414zbMath1282.34017arXiv1205.3480OpenAlexW3106395409MaRDI QIDQ2865467

Patryk Mach

Publication date: 29 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.3480

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Elliptic functions and integrals (33E05)

Related Items (10)

Relativistic soliton collisions of axion type dark matter ⋮ Analytical solutions of a class of fractional Lane-Emden equation: a power series method ⋮ Perturbed Lane-Emden equations as a boundary value problem with singular endpoints ⋮ Noetherian symmetries of noncentral forces with drag term ⋮ Unnamed Item ⋮ Lane-Emden equations of second kind modelling thermal explosion in infinite cylinder and sphere ⋮ The variational iteration method for solving the Volterra integro-differential forms of the Lane-Emden equations of the first and the second kind ⋮ Revisiting Noether's Theorem on constants of motion ⋮ Rotating Bowen–York initial data with a positive cosmological constant ⋮ Classical Way of Looking at the Lane-Emden Equation

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Lie group classification of the generalized Lane-Emden equation
• Exact solutions of the generalized Lane–Emden equation
• On similarity in the evolution of semilinear wave and Klein-Gordon equations: Numerical surveys
• Self-similar solutions of the cubic wave equation
• Self-similar solutions of semilinear wave equations with a focusing nonlinearity

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