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

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

10 引用（Scopus）

摘要

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.

源语言	英语
文章编号	003
页（从-至）	2391-2394
页数	4
期刊	Chinese Physics
卷	14
期	12
DOI	https://doi.org/10.1088/1009-1963/14/12/003
出版状态	已出版 - 12 12月 2005

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title = "Methods of analytical mechanics for solving differential equations of first order",

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.",

keywords = "Analytical mechanics, Differential equation, Noether theory, Poisson method",

author = "Wu, \{Hui Bin\} and Mei, \{Feng Xiang\}",

year = "2005",

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T1 - Methods of analytical mechanics for solving differential equations of first order

AU - Wu, Hui Bin

AU - Mei, Feng Xiang

PY - 2005/12/12

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/28844479707

U2 - 10.1088/1009-1963/14/12/003

DO - 10.1088/1009-1963/14/12/003

M3 - Article

AN - SCOPUS:28844479707

SN - 1009-1963

VL - 14

SP - 2391

EP - 2394

JO - Chinese Physics

JF - Chinese Physics

IS - 12

M1 - 003

ER -

Methods of analytical mechanics for solving differential equations of first order

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