Self-similar solutions of the generalized Emden-Fowler equation

P. G. L. Leach; R. Maartens; S. D. Maharaj

doi:10.1016/0020-7462(92)90062-C

Self-similar solutions of the generalized Emden-Fowler equation

P. G. L. Leach, R. Maartens, S. D. Maharaj

Institute of Cosmology & Gravitation

Research output: Contribution to journal › Article › peer-review

Abstract

When, in the generalized Emden-Fowler equation y" + f(x)yⁿ = 0, the function f(x) takes certain forms, the equation possesses one or two Lie point symmetries and in some cases closed-form solutions can be obtained.

Original language	English
Pages (from-to)	575-582
Number of pages	8
Journal	International Journal of Non-Linear Mechanics
Volume	27
Issue number	4
DOIs	https://doi.org/10.1016/0020-7462(92)90062-C
Publication status	Published - 1 Jan 1992

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title = "Self-similar solutions of the generalized Emden-Fowler equation",

abstract = "When, in the generalized Emden-Fowler equation y{"} + f(x)yn = 0, the function f(x) takes certain forms, the equation possesses one or two Lie point symmetries and in some cases closed-form solutions can be obtained.",

author = "Leach, {P. G. L.} and R. Maartens and Maharaj, {S. D.}",

year = "1992",

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AU - Leach, P. G. L.

AU - Maartens, R.

AU - Maharaj, S. D.

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Y1 - 1992/1/1

N2 - When, in the generalized Emden-Fowler equation y" + f(x)yn = 0, the function f(x) takes certain forms, the equation possesses one or two Lie point symmetries and in some cases closed-form solutions can be obtained.

AB - When, in the generalized Emden-Fowler equation y" + f(x)yn = 0, the function f(x) takes certain forms, the equation possesses one or two Lie point symmetries and in some cases closed-form solutions can be obtained.

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

IS - 4

ER -

Self-similar solutions of the generalized Emden-Fowler equation

Abstract

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