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New Generating Sets of the First Order Lane-Emden Differential Equations in N-Dimensional Radially Symmetric Polytropes

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DOI: 10.4236/am.2013.44090    4,180 Downloads   5,647 Views  

ABSTRACT

In the present paper, two new generating sets, of homology invariant functions will be established. Moreover, by the aid of two independent homology invariant functions of each set we established the transformed first order Lane-Emden equation. The first equation for polytropic index n 1, ±depends on five free parameters, while the other equation is for, n ±∞ and depends on three free parameters.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

M. Sharaf and A. Saad, "New Generating Sets of the First Order Lane-Emden Differential Equations in N-Dimensional Radially Symmetric Polytropes," Applied Mathematics, Vol. 4 No. 4, 2013, pp. 659-662. doi: 10.4236/am.2013.44090.

References

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