Lie symmetries along with either Noether theorem or Jacobi Last Multiplier yield all the conserved quantities that one may seek and even more. We show that three new conserved quantities derived in Jian-Hui Fang, Ming-Jiang Zhang, Wei-Wei Zhang (2010) [1] can be algorithmically obtained by these old methods. Even more than three.

Many conserved quantities induced by Lie symmetries of a Lagrangian system

NUCCI, Maria Clara
2011-01-01

Abstract

Lie symmetries along with either Noether theorem or Jacobi Last Multiplier yield all the conserved quantities that one may seek and even more. We show that three new conserved quantities derived in Jian-Hui Fang, Ming-Jiang Zhang, Wei-Wei Zhang (2010) [1] can be algorithmically obtained by these old methods. Even more than three.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/181090
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