TY - JOUR
T1 - A note on integration of the Emden-Fowler equation
AU - Rosenau, Philip
N1 - Funding Information:
Acknowledgements--This work was partially supported by U.S. Air Force Contract AFOSR-81-0020 and partially by the Technion V.P.R. Fund-Miami Energy Fund.
PY - 1984
Y1 - 1984
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0021294567&partnerID=8YFLogxK
U2 - 10.1016/0020-7462(84)90058-1
DO - 10.1016/0020-7462(84)90058-1
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AN - SCOPUS:0021294567
SN - 0020-7462
VL - 19
SP - 303
EP - 308
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 4
ER -