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Noether Symmetry of Three-Order Lagrangian Equations
Authors:MA;Shan-Jun;YANG;Xue-Hui;YANG;Rong
Institution:College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330027, China
Abstract:Based on the three-order Lagrangian equation, pseudo-Hamilton action I* is defined and the three-order Hamilton's principle and the conditions are obtained in the paper. Then, the Noether symmetry about three-order Lagrangian equations is deduced. 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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