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.
M.C. Nucci (2011). Many conserved quantities induced by Lie symmetries of a Lagrangian system. PHYSICS LETTERS A, 375(11), 1375-1377 [10.1016/j.physleta.2011.02.014].
Many conserved quantities induced by Lie symmetries of a Lagrangian system
M.C. Nucci
2011
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.File in questo prodotto:
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