Hojman method for solving differential equations

Hui Bin Wu; Yong Fa Zhang; Feng Xiang Mei

doi:10.7498/aps.55.4987

Hojman method for solving differential equations

Hui Bin Wu^*, Yong Fa Zhang, 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

7 Citations (Scopus)

Abstract

First, the method presented by Hojman for finding the conserved quantity of the system of second order differential equations is generalized and applied to the system of first order differential equations, particularly to the odd-dimensional system for finding the integral in this paper. Next, it is proved that the Hojman theorem is a special case of the theorem given in this paper. Finally, an example is given to illustrate the application of the result.

Original language	English
Pages (from-to)	4987-4990
Number of pages	4
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	55
Issue number	10
DOIs	https://doi.org/10.7498/aps.55.4987
Publication status	Published - Oct 2006

Keywords

Conserved quantity
Differential equation
Hojman theorem
Integral

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Wu, H. B., Zhang, Y. F., & Mei, F. X. (2006). Hojman method for solving differential equations. Wuli Xuebao/Acta Physica Sinica, 55(10), 4987-4990. https://doi.org/10.7498/aps.55.4987

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Hojman method for solving differential equations

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Keywords

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