Geodesic
Non-classical symmetries and reductions of algebraic equations and systems of equations
Matematičeskoe obrazovanie, Tome 110 (2024) no. 2, pp. 22-34

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Non-classical symmetries and reductions of algebraic equations and systems of algebraic equations are considered. Transformations that preserve the form of some algebraic equations, as well as transformations that reduce the order of these equations, are described. 
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     title = {Non-classical symmetries and reductions of algebraic equations and systems of equations},
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A. D. Polyanin; I. K. Shingareva. Non-classical symmetries and reductions of algebraic equations and systems of equations. Matematičeskoe obrazovanie, Tome 110 (2024) no. 2, pp. 22-34. http://geodesic.mathdoc.fr/item/MO_2024_110_2_a3/