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Original Articles

New Symmetry Reductions for some Ordinary Differential Equations

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Pages 47-58 | Received 30 Apr 2001, Accepted 26 Jul 2001, Published online: 21 Jan 2013

References

  • Bluman , G.W. and Kumei , S. 1989 . Symmetries and Differential Equations , Berlin : Springer .
  • Bluman , G.W. and Reid , G.R. 1988 . IMA J. App. Math. , 40 : 87 – 94 .
  • Euler , N. , Gandarias , M.L. , Euler , M. and Lindblom , O. 2001 . Auto-Hodograph Transformations for a hierarchy of Nonlinear Evolution Equations . J. Math. Anal. Appl. , 257 : 21 – 28 .
  • Gandarias M.L. Medina E. Muriel C. Potential Symmetries for Some Ordinary Differential Equations To appear in Nonlinear Analysis
  • Hydon , P.E. 2000 . Symmetry Methods and Differential Equations , Cambridge University Press .
  • Muriel , C. and Romero , J L . 2001 . New Methods of Reduction for Ordinary Differential Equations . IMA J. Appl. Math. , 66 : 111 – 125 .
  • Muriel C. Romero J L C ∞ −Symmetries and Nonsolvable Symmetry Algebras. To appear in IMA J. Appl. Math

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