### Abstract

It is shown that the modified Emden-type equation in the title belongs to a class of Liènard's equations that may be mapped into separable Abel's equations, and are therefore integrable. First integrals for equations of this class are easily derived (there are three of them, corresponding to three distinct dynamical regimes), and integrated, to yield parametric representations of the corresponding solutions. © 2008 IOP Publishing Ltd.

Original language | English |
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Article number | 068001 |

Pages (from-to) | - |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 41 |

Issue number | 6 |

DOIs | |

Publication status | Published - 15 Feb 2008 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Modelling and Simulation
- Statistics and Probability