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arXiv · 1902.05449

Invariant characterization of scalar third-order ODEs that admit the maximal contact symmetry Lie algebra

Omar A. Abuloha·Marwan Aloqeili·Ahmad Y. Al-Dweik·F. M. Mahomed·M. T. Mustafa
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Abstract

The Cartan equivalence method is utilized to deduce an invariant characterization of the scalar third-order ordinary differential equation $u'''=f(x,u,u',u'')$ which admits the maximal ten-dimensional contact symmetry Lie algebra. The method provides auxiliary functions which can be used to efficiently determine the contact transformation that does the reduction to the simplest linear equation $\bar{u}'''=0$. Furthermore, ample examples are given to illustrate our method.

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Omar A. Abuloha, Marwan Aloqeili, Ahmad Y. Al-Dweik, F. M. Mahomed, M. T. Mustafa. 2019-02-13. Invariant characterization of scalar third-order ODEs that admit the maximal contact symmetry Lie algebra. https://arxiv.org/abs/1902.05449

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