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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.
References

Cited By

[1]	Ge Wei-Kuan.Approximate conserved quantity of a weakly nonholonomic system. Acta Physica Sinica, 2009, 58(10): 6729-6731.doi:10.7498/aps.58.6729
[2]	Xue Yun, Weng De-Wei.Gauss principle for a super-thin elastic rod dynamics. Acta Physica Sinica, 2009, 58(1): 34-39.doi:10.7498/aps.58.34
[3]	Ding Guang-Tao.A method for computing acceleration-dependent Lagrangians. Acta Physica Sinica, 2009, 58(10): 6725-6728.doi:10.7498/aps.58.6725
[4]	Ding Guang-Tao.Two new methods for construction of Birkhoffian representation. Acta Physica Sinica, 2008, 57(12): 7415-7418.doi:10.7498/aps.57.7415
[5]	Zhang Yi.Differential variational principles of mechanical systems in the event space. Acta Physica Sinica, 2007, 56(2): 655-660.doi:10.7498/aps.56.655
[6]	Hu Chu-Le.Lie symmetries and Hojman conserved quantities of one kind of differential equations of motion of nonholonomic systems. Acta Physica Sinica, 2007, 56(7): 3675-3677.doi:10.7498/aps.56.3675
[7]	Hu Chu-Le, Xie Jia-Fang.Form invariance and Hojman conserved quantity of Maggi equation. Acta Physica Sinica, 2007, 56(9): 5045-5048.doi:10.7498/aps.56.5045
[8]	Luo Shao-Kai.A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems. Acta Physica Sinica, 2007, 56(10): 5580-5584.doi:10.7498/aps.56.5580
[9]	Zhang Yi.Lutzky conserved quantities and velocity-dependent symmetries for systems with unilateral holonomic constraints. Acta Physica Sinica, 2006, 55(5): 2109-2114.doi:10.7498/aps.55.2109
[10]	Zhang Yi.Non-Noether conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints. Acta Physica Sinica, 2006, 55(2): 504-510.doi:10.7498/aps.55.504
[11]	Mei Feng-Xiang, Xu Xue-Jun.Reduction of generalized Chaplygin systems. Acta Physica Sinica, 2005, 54(9): 3975-3977.doi:10.7498/aps.54.3975
[12]	Xu Xue-Jun, Mei Feng-Xiang, Qin Mao-Chang.Hojman conserved quantity for a holonomic system in the event space. Acta Physica Sinica, 2005, 54(3): 1009-1014.doi:10.7498/aps.54.1009
[13]	Ge Wei-Kuan.Effects of mass variation on form invariance and conserved quantity of mechanical systems. Acta Physica Sinica, 2005, 54(6): 2478-2481.doi:10.7498/aps.54.2478
[14]	Zhang Yi.Symmetries and conserved quantities of mechanical systems with unilateral holonomic constraints in phase space. Acta Physica Sinica, 2005, 54(10): 4488-4495.doi:10.7498/aps.54.4488
[15]	Zhang Yi.Form invariance of mechanical systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(2): 331-336.doi:10.7498/aps.53.331
[16]	Zhang Yi, Mei Feng-Xiang.Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system. Acta Physica Sinica, 2004, 53(8): 2419-2423.doi:10.7498/aps.53.2419
[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
[19]	Li Ren-Jie, Qiao Yong-Fen, Meng Jun.. Acta Physica Sinica, 2002, 51(1): 1-5.doi:10.7498/aps.51.1
[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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