Noether's and Poisson's methods for solving differential equation x s(m) = Fs (t,xk(m-2), xk(m-1))

Guang He; Feng Xiang Mei

doi:10.1088/1674-1056/17/3/015

Noether's and Poisson's methods for solving differential equation x _s^(m) = F_s (t,x_k^(m-2), x_k^(m-1))

Guang He^*, Feng Xiang Mei

^*Corresponding author for this work

School of Mechatronical Engineering

Beijing Institute of Technology

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

Abstract

This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.

Original language	English
Pages (from-to)	822-824
Number of pages	3
Journal	Chinese Physics B
Volume	17
Issue number	3
DOIs	https://doi.org/10.1088/1674-1056/17/3/015
Publication status	Published - 1 Mar 2008

Keywords

Higher order ordinary differential equation
Integration
Noether's method
Poisson's method

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10.1088/1674-1056/17/3/015

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abstract = "This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.",

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N2 - This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.

AB - This paper studies integration of a higher-order differential equation which can be reduced to a second-order ordinary differential equation. The solution of the second-order equation can be obtained by the Noether method and the Poisson method. Then the solution of the higher-order equation can be obtained by integrating the solution of the second-order equation.

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KW - Integration

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KW - Poisson's method

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Noether's and Poisson's methods for solving differential equation x _s^(m) = F_s (t,x_k^(m-2), x_k^(m-1))

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Keywords

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