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 language | English |
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Pages (from-to) | 303-308 |
Number of pages | 6 |
Journal | International Journal of Non-Linear Mechanics |
Volume | 19 |
Issue number | 4 |
DOIs | |
State | Published - 1984 |
Externally published | Yes |