NDLI: Lie and Noether symmetry groups of nonlinear equations

Content Provider	Scilit
Author	Ray, J. R. Reid, J. L. Cullen, J. J.
Copyright Year	1982
Description	Journal: Journal of Physics A: General Physics 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.
Related Links	http://iopscience.iop.org/article/10.1088/0305-4470/15/11/001/pdf
Ending Page	L577
Page Count	3
Starting Page	L575
ISSN	00223689
DOI	10.1088/0305-4470/15/11/001
Journal	Journal of Physics A: General Physics
Issue Number	11
Volume Number	15
Language	English
Publisher	IOP Publishing
Publisher Date	1982-11-01
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics A: General Physics Applied Mathematics Nonlinear Equation Symmetry Group Lie Group Ordinary Differential Equation
Content Type	Text
Resource Type	Article

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Lie and Noether symmetry groups of nonlinear equations