A note on integration of the Emden-Fowler equation

Philip Rosenau*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Using a simple change of variables, the Emden-Fowler equation, (xv + αy′)′ + axvyn = 0 is shown to be integrable provided that either of the constraints (v + α - 1)n = 3 - α + v or (v + α - 1)n = 3 - 2α - v is satisfied. Every integrable case generates a one parameter family of integrable Emden-Fowler equations.

Original languageEnglish
Pages (from-to)303-308
Number of pages6
JournalInternational Journal of Non-Linear Mechanics
Volume19
Issue number4
DOIs
StatePublished - 1984
Externally publishedYes

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