Localized Lie symmetries and conserved quantities for the finite-degree-of-freedom systems

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摘要 ThispaperfocusesonthestudyoflocalizedLiesymmetriesundertheinfinitesimaltransformationofaninfinitecontinuousgroupforthefinite-degree-of-freedomsystems.Basedonaninvarianceofdifferentialequationunderaninfinitesimaltransformation,wepresentthelocalizedLiesymmetriesincludingdirectandinverseproblemsforthefinitedegree-of-freedommechanicalsystems.Wealsogivethedefinitions,determiningequations,structuralequationandconservedlawsoflocalizedLiesymmetries,andfurther,theLiesymmetriesundertheinfinitesimaltransformationofafinitecontinuousgroupderivedfromlocalizedLiesymmetry.Finally,anexampleisdiscussedtoillustratetheseresults.
机构地区 不详
出处 《中国物理B:英文版》 2005年1期
出版日期 2005年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)