Literature Cited
S. P. Novikov, "The periodic problem for the Korteweg—de Vries equation," Funktsional'. Analiz i Ego Prilozhen.,8, No. 3, 54–66 (1974).
C. S. Gardner, "Korteweg—de Vries equation and generalizations. IV. The Korteweg—de Vries equation as a Hamiltonian system," J. Math. Phys.,12, 1548–1551 (1971).
P. D. Lax, "Periodic solution of the KdV equation," Comm. Pure and Appl. Math.,28, No. 1, 141–188 (1975).
I. M. Gel'fand and L. A. Dikii, "Asymptotic behavior of resolvent of Sturm—Liouville operators and the algebra of Korteweg—de Vries equations," Usp. Matem. Nauk,30, No. 5, 67–101 (1975).
V. E. Zakharov and L. D. Faddeev, "The Korteweg—de Vries equation as a completely integrable Hamiltonian system," Funktsional'. Analiz i Ego Prilozhen.,5, No. 4, 18–27 (1971).
I. M. Gel'fand and L. A. Dikii, "Structure of Lie algebra in formal variational calculus," Funktsional'. Analiz i Ego Prilozhen.,10, No. 1, 18–25 (1976).
Additional information
L. D. Landau Institute of Theoretical Physics, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 10, No. 1, pp. 9–13, January–March, 1976.
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Bogoyavlenskii, O.I., Novikov, S.P. The relationship between Hamiltonian formalisms of stationary and nonstationary problems. Funct Anal Its Appl 10, 8–11 (1976). https://doi.org/10.1007/BF01075765
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DOI: https://doi.org/10.1007/BF01075765