Abstract
The Chaplygin equation is classified algebraically with respect to the ring R permitted by the equation. New classes of the functions Λ are found which permit two-fold symmetry operators.
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L. V. Ovsyannikov, Prikl. Mekhan. i Tekh. Fiz., 3 (1960).
V. N. Shapovalov, Izv. VUZ. Fiz., No. 6, 75 (1968).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 64–70, September, 1969.
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Shapovalov, V.N. Asymmetry of the chaplygin equation. Soviet Physics Journal 12, 1151–1156 (1972). https://doi.org/10.1007/BF00813427
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DOI: https://doi.org/10.1007/BF00813427