SOLUTION OF GENERALIZED EMDEN-FOWLER EQUATIONS WITH 2 SYMMETRIES

Authors
MELLIN CM MAHOMED FM LEACH PGL
Citation
Cm. Mellin et al., SOLUTION OF GENERALIZED EMDEN-FOWLER EQUATIONS WITH 2 SYMMETRIES, International journal of non-linear mechanics, 29(4), 1994, pp. 529-538
Citations number
21
Categorie Soggetti
Mechanics
Journal title
International journal of non-linear mechanics → ACNP
ISSN journal
00207462
Volume
29
Issue
4
Year of publication
1994
Pages
529 - 538
Database
ISI
SICI code
0020-7462(1994)29:4<529:SOGEEW>2.0.ZU;2-W
Abstract
The generalized Emden-Fowler equation y'' + p(x)y' + r(x)y = f(x)y'' h as a single point symmetry under a certain constraint on f(x). Althoug h the order of the equation can be reduced by one, integration of the resulting Abel's equation of the second kind in closed form is not gen erally possible. Under a stronger constraint there exist two symmetrie s G1 and G2, such that [G1, G2] = (cst)G2 and reduction to quadratures becomes trivial. The special cases n = 2 and n = - 3 are treated in d etail.