A Birkhoff-Noether method of solving differential equations

Mei Shang; Yong Xin Guo; Feng Xiang Mei

doi:10.1088/1009-1963/16/2/004

A Birkhoff-Noether method of solving differential equations

Mei Shang^*, Yong Xin Guo, Feng Xiang Mei

^*Corresponding author for this work

School of Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

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.

Original language	English
Article number	004
Pages (from-to)	292-295
Number of pages	4
Journal	Chinese Physics
Volume	16
Issue number	2
DOIs	https://doi.org/10.1088/1009-1963/16/2/004
Publication status	Published - 1 Feb 2007

Keywords

Birkhoffian system
Differential equation
First integral
Noether theory

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10.1088/1009-1963/16/2/004

Cite this

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title = "A Birkhoff-Noether method of solving differential equations",

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.",

keywords = "Birkhoffian system, Differential equation, First integral, Noether theory",

author = "Mei Shang and Guo, {Yong Xin} and Mei, {Feng Xiang}",

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AU - Shang, Mei

AU - Guo, Yong Xin

AU - Mei, Feng Xiang

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N2 - 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.

AB - 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.

KW - Birkhoffian system

KW - Differential equation

KW - First integral

KW - Noether theory

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DO - 10.1088/1009-1963/16/2/004

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ER -

A Birkhoff-Noether method of solving differential equations

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Keywords

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