Hamiltonian operators and algebraic structures related to them
Funkcionalʹnyj analiz i ego priloženiâ, Tome 13 (1979) no. 4, pp. 13-30.

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I. M. Gel'fand; I. Ya. Dorfman. Hamiltonian operators and algebraic structures related to them. Funkcionalʹnyj analiz i ego priloženiâ, Tome 13 (1979) no. 4, pp. 13-30. http://geodesic.mathdoc.fr/item/FAA_1979_13_4_a1/

[1] Gelfand I.M., Dikii L.A., “Asimptotika rezolventy shturm-liuvillevskikh uravnenii i algebra uravnenii Kortevega–de Friza”, UMN, XXX:5 (1975), 67–100 | MR

[2] Gelfand I.M., Dikii L.A., “Struktura algebry Li v formalnom variatsionnom ischislenii”, Funkts. analiz, 10:1 (1976), 18–25 | MR

[3] Gelfand I.M., Dikii L.A., “Drobnye stepeni operatorov i gamiltonovy sistemy”, Funkts. analiz, 10:4 (1976), 13–29 | MR

[4] Gelfand I.M., Manin Yu.I., Shubin M.A., “Skobki Puassona i yadro variatsionnoi proizvodnoi v formalnom variatsionnom ischislenii”, Funkts. analiz, 10:4 (1976), 30–34 | MR

[5] Kupershmidt B.A., Manin Yu.I., “Uravneniya dlinnykh voln so svobodnoi poverkhnostyu. I. Zakony sokhraneniya i resheniya”, Funkts. analiz, 11:3 (1977), 31–42 ; “II. Гамильтонова структура и высшие уравнения”, Функц. анализ, 12:1 (1978), 25–37 | MR | Zbl | MR | Zbl

[6] Adler M., “On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteveg–de Vries equation”, Invent. math., 50:3 (1979), 219–248 | DOI | MR | Zbl

[7] Lebedev D.P., Manin Yu.I., Gamiltonov operator Gelfanda–Dikogo i koprisoedinennoe predstavlenie gruppy Volterra, preprint No 155, ITEF, 1978

[8] Gelfand I.M., Dikii L.A., Semeistvo gamiltonovykh struktur, svyazannykh s integriruemymi nelineinymi differentsialnymi uravneniyami, preprint No 136, In-t prikl. matem. AN SSSR, 1978

[9] Flato M., Li hnerowicz A., Sternheimer D., Algebras de Lie attachees a une variete canonique, preprint, 1975 | MR | Zbl

[10] Lax P.D., “Almost periodic solutions of the KdV equation”, SIAM Review, 18:3 (1976), 351–375 | DOI | MR | Zbl

[11] Dorfman I.Ya., “O formalnom variatsionnom ischislenii v algebre gladkikh tsilindricheskikh funktsii”, Funkts. analiz, 12:2 (1978), 32–39 | MR | Zbl

[12] Olver P.J., “Evolution equations possessing infinitely many symmetries”, J. Math. Phys., 18:6 (1977), 1212–1215 | DOI | MR | Zbl

[13] Adler M., Some algebraic relations common to a set of integrable partial and ordinary differential equations, preprint, 1978 | MR

[14] Magri F., “A simple model of the integrable Hamiltonian equation”, J. Math. Phys., 19:5 (1978), 1156–1162 | DOI | MR | Zbl

[15] Kulish P.P., Reiman A.G., “Ierarkhiya simplekticheskikh form dlya uravnenii Shredingera i Diraka na pryamoi”, Zapiski nauchn. seminarov LOMI, 77, 1978, 134–147 | MR | Zbl

[16] Gelfand I.M., Dorfman I.Ya., “Integriruemye uravneniya tipa KdF – G. Dima”, Sovremennye problemy vychislitelnoi matematiki i matematicheskoi fiziki, M., 1979