POISSON BRACKETS AND COMPLEX TORI

POISSON BRACKETS AND COMPLEX TORI 19Schrödinger equation, Dokl. Akad. Nauk SSSR 267 (1982), 1295–1300;English transl. in Soviet Math. Dokl. 26 (1982).[19] Georege Springer, Introduction to Riemann surfaces, Addison-Wesley,1957.[20] Clifford S. Gardner, Korteweg-de Vries equation and generalizations,IV, J. Mathematical Phys. 12 (1971), 1548–1551.[21] V. E. Zakharov and L. D. Faddeev, The Korteweg-de Vries equation is afully integrable Hamiltonian system, Funktsional. Anal. i Prilozhen. 5(1971), no. 4, 18–27; English transl. in Functional Anal. Appl. 5 (1971).[22] H. Flaschka and D. W. McLaughlan, Canonically conjugate variables forthe Korteweg-de Vries equation and the Toda lattice with periodic boundaryconditions, Progr. Theoret. Phys. 55 (1976), 438–456.[23] Franco Magri, A simple model of the integrable Hamiltonian equation,J. Mathematical Phys. 19 (1978), 1156–1162.[24] O. I. Bogoyavlenskĭı and S. P. Novikov, The connection between the Hamiltonianformalisms of stationary and nonstationary problems, Funktsional.Anal. i Prilozhen. 10 (1976), no. 1, 9–13; English transl. in FunctionalAnal. Appl. 10 (1976).[25] O. I. Bogoyavlenskiĭ, The integrals of higher stationary KdV equations andthe eigenvalues of the Hill operator, Funktsional. Anal. i Prilozhen. 10(1976), no. 2, 9–12; English transl. in Functional Anal. Appl. 10 (1976).[26] S. I. Al’ber [Alber], Investigation of equations of Korteweg-de Vries typeby the method of recurrence relations, J. London Math. Soc. (2) 19 (1979),467–480. (Russian; English summary).[27] , On stationary problems for equations of Korteweg-de Vries type,Comm. Pure Appl. Math. 34 (1981), 259–272.[28] 1 A. P. Veselov, Finite-zone potentials and integrable systems on the spherewith a quadratic potential, Funktsional. Anal. i Prilozhen. 14 (1980),no. 1, 48–50; English transl. in Functional Anal. Appl. 14 (1980).1 Editor’s note. There is no item [28] in the Russian original. The context suggests thatthe restoration given here is what was intended.