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

Access to Document

10.7498/aps.55.4987

Cite this

@article{c261f302954f459092c5de0da912e144,

title = "Hojman method for solving differential equations",

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.",

keywords = "Conserved quantity, Differential equation, Hojman theorem, Integral",

author = "Wu, {Hui Bin} and Zhang, {Yong Fa} and Mei, {Feng Xiang}",

year = "2006",

month = oct,

doi = "10.7498/aps.55.4987",

language = "English",

volume = "55",

pages = "4987--4990",

journal = "Wuli Xuebao/Acta Physica Sinica",

issn = "1000-3290",

publisher = "Science China Press",

number = "10",

}

TY - JOUR

T1 - Hojman method for solving differential equations

AU - Wu, Hui Bin

AU - Zhang, Yong Fa

AU - Mei, Feng Xiang

PY - 2006/10

Y1 - 2006/10

N2 - 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.

AB - 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.

KW - Conserved quantity

KW - Differential equation

KW - Hojman theorem

KW - Integral

UR - http://www.scopus.com/inward/record.url?scp=33751579620&partnerID=8YFLogxK

U2 - 10.7498/aps.55.4987

DO - 10.7498/aps.55.4987

M3 - Article

AN - SCOPUS:33751579620

SN - 1000-3290

VL - 55

SP - 4987

EP - 4990

JO - Wuli Xuebao/Acta Physica Sinica

JF - Wuli Xuebao/Acta Physica Sinica

IS - 10

ER -

Hojman method for solving differential equations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this