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arXiv · 1712.02387

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

Ahmad Y. Al-Dweik·M. T. Mustafa·F. M. Mahomed
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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 seven-dimensional point symmetry Lie algebra. The method provides auxiliary functions which can be used to efficiently obtain the point transformation that does the reduction to the simplest linear equation $\bar{u}'"=0$. Moreover, examples are given to illustrate the method.

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Ahmad Y. Al-Dweik, M. T. Mustafa, F. M. Mahomed. 2017-12-06. Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra. https://doi.org/10.1002/mma.4923

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