A Birkhoff-Noether method of solving differential equations |
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| Authors: | Shang Mei Guo Yong-Xin and Mei Feng-Xiang |
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| Institution: | Faculty of Science, Beijing Institute of Technology, Beijing 100081, China; Department of Physics, Liaoning University, Shenyang 110036, China |
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| Abstract: | In this paper, a Birkhoff--Noether method of solving ordinary
differential equations is presented. The differential equations can
be expressed in terms of Birkhoff's equations. The first integrals
for differential equations can be found by using the Noether theory
for Birkhoffian systems. Two examples are given to illustrate the
application of the method. |
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| Keywords: | differential equation Birkhoffian system Noether theory first integral |
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