Lie and Noether symmetry groups of nonlinear equations
- 1 November 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (11) , L575-L577
- https://doi.org/10.1088/0305-4470/15/11/001
Abstract
It is found that the nonlinear ordinary differential equation rho + omega 2(t) rho =1/ rho 3 has a three-parameter Lie group of symmetries which are also Noether symmetries. The invariants associated with the group are calculated. The authors discuss a new way of generating n-parameter Lie symmetry groups which are associated with n-parameter nonlinear differential equations.Keywords
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