Hidden symmetries of energy-conserving differential equations |
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| Authors: | GUO ANN; ABRAHAM-SHRAUNER BARBARA |
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| Institution: |
Department of Electrical Engineering, Washington University 1 Brookings Drive, St. Louis, Missouri 63130, USA
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| Abstract: | Hidden symmetries of second-order differential equations whichare invariant under a one-parameter Lie point group and areof the energy-conserving form are analysed as an inverse problemfor some particular cases. These hidden symmetries occur asadditional one-parameter lie point group symmetries in the reducedfirst-order differential equations. |
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