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Hojman’s theorem of the third-order ordinary differential equation

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【Author】 L Hong-Sheng a),Zhang Hong-Bin b),and Gu Shu-Long b) a) Department of Mathematics,Chaohu College,Chaohu 238000,China b) Department of Physics,Chaohu College,Chaohu 238000,China

【机构】 Department of Mathematics,Chaohu College； Department of Physics,Chaohu College；

【摘要】 This paper extends Hojman’s conservation law to the third-order differential equation.A new conserved quantity is constructed based on the Lie group of transformation generators of the equations of motion.The generators contain variations of the time and generalized coordinates.Two independent non-trivial conserved quantities of the third-order ordinary differential equation are obtained.A simple example is presented to illustrate the applications of the results.更多还原

【Abstract】 This paper extends Hojman’s conservation law to the third-order differential equation.A new conserved quantity is constructed based on the Lie group of transformation generators of the equations of motion.The generators contain variations of the time and generalized coordinates.Two independent non-trivial conserved quantities of the third-order ordinary differential equation are obtained.A simple example is presented to illustrate the applications of the results.更多还原

【关键词】 third-order ordinary differential equation； Lie symmetry； Hojman’s conservation law；
【Key words】 third-order ordinary differential equation； Lie symmetry； Hojman’s conservation law；

【基金】 supported by the National Natural Science Foundation of China (Grant No 10872037);the Natural Science Foundation of Anhui Province of China (Grant No 070416226)

【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2009年08期

【分类号】O411.1;O175
【下载频次】22

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