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Noether Symmetry of Three-Order Lagrangian Equations
Authors:MA  Shan-Jun  YANG  Xue-Hui  YANG  Rong
Affiliation:College of Physics and Communication Electronics,Jiangxi Normal University, Nanchang 330027, China
Abstract:Based on the three-order Lagrangian equation, pseudo-Hamiltonaction I* is defined and the three-order Hamilton'sprinciple and the conditions are obtained in the paper. Then,the Noether symmetry about three-order Lagrangian equations isdeduced. Finally, an example is given to illustrate the application of the result.
Keywords:three-order Lagrangian equation   Hamilton's principle   Noether symmetry   
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