Literature Cited
C. Athorne and A. Fordy, J. Phys. A,20, 1377 (1987).
V. G. Drinfel'd and V. V. Sokolov, in: Modern Problems of Mathematics, Vol. 24 [in Russian], VINITI, Moscow (1984), pp. 81–181.
N. Jacobson, Structure and Representations of Jordan Algebras, Providence (1968).
P. Jordan, J. von Neumann, and E. Wigner, Ann. Math.,36, 29 (1934).
A. M. Slin'ko, I. P. Shestakov, and A. I. Shirshov, Nearly Associative Rings [in Russian], Nauka, Moscow (1978).
A. V. Mikhailov, A. B. Shabat, and R. I. Yamilov, Usp. Mat. Nauk,42, 3 (1987).
A. V. Mikhailov, V. V. Sokolov, and A. B. Shabat, “The symmetry approach to the classification of integrable equations,” in: Integrability and Kinetic Equations for Solitons [in Russian], Naukova Dumka, Kiev (1989).
P. Olver, Applications of Lie Groups to Differential Equations [Russian translation], Mir, Moscow (1989).
A. Albert, Ann. Math.,48, 546 (1947).
A. Albert, Trans. Am. Math. Soc.,69, 503 (1950).
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Institute of Mathematics and Computing Center, Urals Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 3, pp. 391–403, June, 1991
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Svinolupov, S.I. Jordan algebras and generalized Korteweg-de Vries equations. Theor Math Phys 87, 611–620 (1991). https://doi.org/10.1007/BF01017947
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DOI: https://doi.org/10.1007/BF01017947