Exact Solutions of Singular IVPs Lane-Emden Equation

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  • Mehdi Asadi,

Published in Issue 2025-11-09

How to Cite

Exact Solutions of Singular IVPs Lane-Emden Equation. (2025). Communications in Nonlinear Analysis, 6(1). https://oiccpress.com/cna/article/view/17919

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Abstract

In the paper, [A.M. Rismani, H. Monfared, Numerical solution of singular ivps of laneemden type using a modified Legendre spectral method. Applied Mathematical Modelling, 36 (2012), 4830-4836.], the authors state that exact solutions for the Lane-Emden nonlinear differential equation exist only for m = 0,1 (linear cases) and 5 (nonlinear case). While here,we present real exact solutions for m ∈ (3,∞) and complex m ∈ (−∞,3){1}. Some illustratedexamples presented as well.

Keywords

  • Lane-Emden type equations,
  • Singular IVPs,
  • ODE
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References

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