Methods of analytical mechanics for solving differential equations of first order

Hui Bin Wu; Feng Xiang Mei

doi:10.1088/1009-1963/14/12/003

Methods of analytical mechanics for solving differential equations of first order

Hui Bin Wu^*, Feng Xiang Mei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

10 Citations (Scopus)

Abstract

A differential equation of first order can be expressed by the equation of motion of a mechanical system. In this paper, three methods of analytical mechanics, i.e. the Hamilton-Noether method, the Lagrange-Noether method and the Poisson method, are given to solve a differential equation of first order, of which the way may be called the mechanical methodology in mathematics.

Original language	English
Article number	003
Pages (from-to)	2391-2394
Number of pages	4
Journal	Chinese Physics
Volume	14
Issue number	12
DOIs	https://doi.org/10.1088/1009-1963/14/12/003
Publication status	Published - 12 Dec 2005

Keywords

Analytical mechanics
Differential equation
Noether theory
Poisson method

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10.1088/1009-1963/14/12/003

Cite this

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AU - Mei, Feng Xiang

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AB - A differential equation of first order can be expressed by the equation of motion of a mechanical system. In this paper, three methods of analytical mechanics, i.e. the Hamilton-Noether method, the Lagrange-Noether method and the Poisson method, are given to solve a differential equation of first order, of which the way may be called the mechanical methodology in mathematics.

KW - Analytical mechanics

KW - Differential equation

KW - Noether theory

KW - Poisson method

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Methods of analytical mechanics for solving differential equations of first order

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