Abstract
A practical method is described for determining the symmetry groups of the differential equations of physics via a discussion of all possible operators in space of coordinates {∂xα} and derivatives {∂/∂xα}. The Lie-algebra operators on the solutions are sought. The problem is solved by successively “complicating” the form of the operators.
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References
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Kurdgelaidze, D.F., Khukhunashvili, Z.V. Determination of the Lie groups of equations of motion. I. Soviet Physics Journal 11, 35–40 (1968). https://doi.org/10.1007/BF00822464
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DOI: https://doi.org/10.1007/BF00822464