Journal of Lie Theory

no. 1
C infinity-Symmetries and Reduction of Equations Without Lie Point Symmetries
Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 167-188
It is proved that several usual methods of reduction for ordinary differential equations, that do not come from the Lie theory, are derived from the existence of C infinity - symmetries. This kind of symmetries is also applied to obtain two successive reductions of an equation that lacks Lie point symmetries but is a reduced equation of another one with a three dimensional Lie algebra of point symmetries. Some relations between C infinity - symmetries and potential symmetries are also studied.
DOI: 10.5802/jolt.296
Classification: 34C14, 34A26, 58J70 
@article{JOLT_2003_13_1_a9,
     author = {C. Muriel and J. L. Romero},
     title = {C {\protect\textsuperscript{infinity}-Symmetries} and {Reduction} of {Equations} {Without} {Lie} {Point} {Symmetries}},
     journal = {Journal of Lie Theory},
     pages = {167--188},
     year = {2003},
     volume = {13},
     number = {1},
     doi = {10.5802/jolt.296},
     zbl = {1058.34046},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.296/}
}
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%A J. L. Romero
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C. Muriel; J. L. Romero. C infinity-Symmetries and Reduction of Equations Without Lie Point Symmetries. Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 167-188. doi: 10.5802/jolt.296

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