Exact solutions of the Lane Emden-type equation

Details Exact solutions of the Lane Emden-type equation Exact solutions of the Lane Emden-type equation

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008newa...13..476k&link_type=abstract

New Astronomy, Volume 13, Issue 7, p. 476-480.

Astronomy and Astrophysics

Astronomy

12

Mathematical And Relativistic Aspects Of Cosmology, Stellar Characteristics And Properties

Scientific paper

We classify the Lane Emden-type equation xy+ny+xf(y)=0 with respect to the standard Lagrangian L=12xy-x∫f(y)dy according to the Noether point symmetries it admits. First integrals of the various cases, which admit Noether point symmetries, and reduction to quadratures for these cases are obtained. Six cases result in new solutions.

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