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

Access to Document

10.1016/0020-7462(92)90062-C

Cite this

@article{111aea1c1aa74173b954705e9f6bd59b,

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",

month = jan,

day = "1",

doi = "10.1016/0020-7462(92)90062-C",

language = "English",

volume = "27",

pages = "575--582",

journal = "International Journal of Non-Linear Mechanics",

issn = "0020-7462",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Self-similar solutions of the generalized Emden-Fowler equation

AU - Leach, P. G. L.

AU - Maartens, R.

AU - Maharaj, S. D.

PY - 1992/1/1

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.

UR - https://www.scopus.com/pages/publications/0026895835

U2 - 10.1016/0020-7462(92)90062-C

DO - 10.1016/0020-7462(92)90062-C

M3 - Article

AN - SCOPUS:0026895835

SN - 0020-7462

VL - 27

SP - 575

EP - 582

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

Access to Document

Fingerprint

Cite this