Hamiltonian operators and algebraic structures related to them

I. M. Gel'fand and L. A. Dikii, "Asymptotics of the resolvent of Sturm?Liouville equations and the algebra of Korteweg?de Vries equations," Usp. Mat. Nauk,30, No. 5, 67?100 (1975).

I. M. Gel'fand and L. A. Dikii, "The structure of a Lie algebra in the formal calculus of variations," Funkts. Anal. Prilozhen.,10, No. 1, 18?25 (1976).

I. M. Gel'fand and L. A. Dikii, "Fractional powers of operators and Hamiltonian systems," Funkts. Anal. Prilozhen.,10, No. 4, 13?29 (1976).

I. M. Gel'fand, Yu. I. Manin, and M. A. Shubin, "Poisson brackets and the kernel of the variational derivatives in the formal calculus of variations," Funks. Anal. Prilozhen.,10, No. 4, 30?34 (1976).

B. A. Kuperschmidt and Yu. I. Manin, "Equations of long waves with a free surface. I. Conservation laws and solutions," Funks. Anal. Prilozhen.,11, No. 3 (1977); 31?42; "II. Hamiltonian structure and higher equations," Funks. Anal. Prilozhen.,12, No. 1, 25?32 (1978).

M. Adler, "On a trace functional for formal pseudodifferential operators and the symplectic structure of the Korteweg?de Vries equation," Invent. Math.,50, No. 3, 219?248 (1979).

D. R. Lebedev and Yu. I. Manin, "A Hamiltonian operator of Gel'fand-Dikii and the coadjoint representation of the Volterra group," Preprint ITÉF, No. 155 (1978).

I. M. Gel'fand and L. A. Dikii, "A family of Hamiltonian structures connected with integrable, nonlinear differential equations," Preprint Inst. Prikl. Mat. Akad. Nauk SSSR. No. 136 (1978).

M. Flato, A. Lichnerowicz, and D. Sternheimer, "Algebras de Lie attachées a une variété canonique," Preprint (1975).

P. D. Lax, "Almost periodic solutions of the KdV equation," SIAM Rev.,18, No. 3, 351?375 (1976).

I. Ya. Dorfman, "On the formal variational calculus in an algebra of smooth cylinder functions," Funkts. Anal. Prilozhen.,12, No. 2, 32?39 (1978).

P. J. Olver, "Evolution equations possessing infinitely many symmetries," J. Math. Phys.,18, No. 6, 1212?1215 (1977).

M. Adler, "Some algebraic relations common to a set of integrable partial and ordinary differential equations," Preprint (1978).

F. Magri, "A simple model of the integrable Hamiltonian equation," J. Math. Phys.,19, No. 5, 1156?1162 (1978).

P. P. Kulish and A. G. Reiman, "The hierarchy of symplectic forms for the Schrödinger and Dirac equations on the line," Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,77, 134?147 (1978).

I. M. Gel'fand and I. Ya. Dorfman, "Integral equations of KdV-H. Dym type," in: Modern Problems of Computational Mathematics and Mathematical Physics [in Russian], Moscow (1979).