Methods of analytical mechanics for integrating the Emden-Fowler equation

Mei Feng-Xiang; Xie Jia-Fang; Gang Tie-Qiang

doi:10.7498/aps.56.5041

Abstract
The methods of analytical mechanics for solving the Emden-Fowler equation are presented in this paper, including the Hamilton-Poisson method, the Lagrange-Noether method, the Lie-Hojman method and the Hamilton-Jacobi method.

Keywords:
Emden-Fowler equation /

analytical mechanics /

Poisson method /

Noether theory
Authors and contacts
Mei Feng-Xiang,

Xie Jia-Fang,

Gang Tie-Qiang

1.
北京理工大学理学院力学系,北京 100081
References

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[17]	Luo Shao-Kai, Guo Yong-Xin, Mei Feng-Xiang. Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems. Acta Physica Sinica, 2004, 53(5): 1270-1275. doi: 10.7498/aps.53.1270
[18]	Luo Shao-Kai, Mei Feng-Xiang. A non-Noether conserved quantity, i.e. Hojman conserved quantity, for nonholonomic mechanical systems. Acta Physica Sinica, 2004, 53(3): 6-10. doi: 10.7498/aps.53.6
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[20]	ZHANG HONG-BIN. NOETHER’S THEORY OF BIRKHOFF SYSTEMS WITH UNILATERAL CONSTRAINTS. Acta Physica Sinica, 2001, 50(10): 1837-1841. doi: 10.7498/aps.50.1837

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Vol. 56, Issue 9 - 2007-05-05

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Methods of analytical mechanics for integrating the Emden-Fowler equation

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Methods of analytical mechanics for integrating the Emden-Fowler equation

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