A note on integration of the Emden-Fowler equation |
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| Authors: | Philip Rosenau |
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| Institution: | Department of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel |
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| 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. |
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