REFERENCES
V.G. Drinfel’d and V. V. Sokolov, “Lie algebras and equations of Korteweg-de Vries type,” J. Sov. Math., 30, 1975–2036 (1985).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry. Methods and Applications. Part I: The Geometry of Surfaces, Transformation Groups, and Fields, Grad. Texts Math., 93, Springer-Verlag, New York (1984).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry. Methods and Applications. Part II: The Geometry and Topology of Manifolds, Grad. Texts Math., 104, Springer-Verlag, New York (1985).
L. D. Faddeev and L. A. Takhtadzhyan, Hamiltonian Methods in the Theory of Solitons, Springer-Verlag, Berlin (1987).
L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1988).
A. N. Leznov and M. V. Savel’ev, Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems, Progr. Phys., 15, Birkhauser, Basel (1992).
E. Noether, “Invariante Variationsprobleme,” in: Nachr. Konig. Math.-Phys. Kl., Gesell-Wissen-Gottingen (1918), pp. 235–257.
P. Olver, Applications of Lie Groups to Differential Equations, Grad. Texts Math., 107, Springer-Verlag, New York (1993).
A. V. Ovchinnikov, “Backlund transformation for the elliptic Liouville equation,” in: Spring Mathematical School, Voronezh (1994), p. 106.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 117, Geometry, 2004.
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Ovchinnikov, A.V. Toda Systems as Models of Conformal Classical Field Theory. J Math Sci 128, 3054–3063 (2005). https://doi.org/10.1007/s10958-005-0252-6
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DOI: https://doi.org/10.1007/s10958-005-0252-6