Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FAA_1976_10_4_a1, author = {I. M. Gel'fand and L. A. Dikii}, title = {Fractional powers of operators and {Hamiltonian} systems}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {13--29}, publisher = {mathdoc}, volume = {10}, number = {4}, year = {1976}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a1/} }
I. M. Gel'fand; L. A. Dikii. Fractional powers of operators and Hamiltonian systems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 10 (1976) no. 4, pp. 13-29. http://geodesic.mathdoc.fr/item/FAA_1976_10_4_a1/
[1] Gardner C.S., Green J.M., Kruskal M.D., Miura R.M., “Method for solving the KdV equation”, Phys. Rev. Lett., 19:19 (1967), 1095–1097 | DOI
[2] Lax P., “Integrals of nonlinear equations of evolution and solitary waves”, Comm. Pure Appl. Math., 21:5 (1968), 467–490 | DOI | MR | Zbl
[3] Gardner C.S., “Korteweg–de Vrise equation and generalisations. IV”, J. Math. Phys., 12:8 (1971), 1548–1551 | DOI | MR | Zbl
[4] Zakharov V.E., Faddeev L.D., “Uravnenie Kortevega–de Friza – vpolne integriruemaya gamiltonova sistema”, Funkts. analiz, 5:4 (1971), 18–27 | MR | Zbl
[5] Zakharov V.E., Shabat A.B., “Skhema integrirovaniya nelineinykh uravnenii matematicheskoi fiziki metodom obratnoi zadachi rasseyaniya”, Funkts. analiz, 8:3 (1974), 54–66 | MR
[6] Krichever I.M., “Bezotrazhatelnye potentsialy na fone konechnozonnykh”, Funkts. analiz, 9:2 (1975), 77–78 | MR | Zbl
[7] Novikov S.P., “Periodicheskaya zadacha dlya uravneniya Kortevega–de Friza. I”, Funkts. analiz, 8:3 (1974), 54–66 | MR | Zbl
[8] Dubrovin B.A., Matveev V.B., Novikov S.P., “Nelineinye uravneniya tipa Kortevega–de Friza, konechnozonnye lineinye operatory i abelevy mnogoobraziya”, UMN, XXXI:1 (1976), 55–136 | MR | Zbl
[9] Gelfand I.M., Dikii L.A., “Asimptotika rezolventy shturm-liuvillevskikh uravnenii i algebra uravnenii Kortevega–De Friza”, UMN, XXX:5 (1975), 67–100 | MR
[10] Gelfand I.M., Dikii L.A., “Struktura algebry Li v formalnom variatsionnom ischislenii”, Funkts. analiz, 10:1 (1976), 18–25 | MR
[11] Dikii L.A., “Dzeta-funktsiya obyknovennogo differentsialnogo uravneniya na konechnom otrezke”, Izv. AN SSSR, seriya matem., 19 (1955), 187–200 | MR
[12] Sili R.T., “Stepeni ellipticheskikh operatorov”, Matematika, 12:1 (1968), 96–112
[13] Titchmarsh E., Vvedenie v teoriyu integrala Fure, Gostekhizdat, M., 1948
[14] 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