Hamiltonian structure for one and two dimensional completely integrable systems. Two dimensional completely integrable systems associated with eigenvalue problems and complete description of their meromorphic solutions
Séminaire sur les équations non linéaires (Choodnovsky) (1977-1978), Exposé no. 1, 37 p. 
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     title = {Hamiltonian structure for one and two dimensional completely integrable systems. {Two} dimensional completely integrable systems associated with eigenvalue problems and complete description of their meromorphic solutions},
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     url = {http://archive.numdam.org/item/SENL_1977-1978____A2_0/}
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Choodnovsky, D. V. Hamiltonian structure for one and two dimensional completely integrable systems. Two dimensional completely integrable systems associated with eigenvalue problems and complete description of their meromorphic solutions. Séminaire sur les équations non linéaires (Choodnovsky) (1977-1978), Exposé no. 1, 37 p. http://archive.numdam.org/item/SENL_1977-1978____A2_0/

1 I. Gelfand, L. Dikij, Uspechi Math. Sci. 30 No 5 (1975) 67-100.

2 I. Gelfand, L. Dikij, Funct. Anal. and Appl. 10 No 4 (1976) 13-39. | Zbl

3 C. Gardner, J. Math. Phys. 12 (1971) 1548-1551. | MR | Zbl

4 I. Gelfand, Y. Manin, M. Shubin, Funct. Anal. and Appl. 10 No 4 (1976) 30-34. | MR | Zbl

5 P. Lax, Comm. Pure Appl. Math. 21 No 5 (1968) 467-490. | MR | Zbl

6 J.L. Burchnall, T.W. Chaundy, Proc. London Math. Soc. 21 (1922) 420-440. | JFM

7 V. Zaharov, A. Shabat, Funct. Anal. and Appl. 8 (1974) 43. | Zbl

8 H. Airault, H. Mckean, J. Moser, Comm. Pure Appl. Math. 55 (1977). | MR

9 D.V. Choodnovsky, Notices of A.M.S. 24 No 4 (1977) A-387.

10 J. Boussinesq, Notes aux C.R. Acad. Sc. Paris, 72 (1871) 755-759. | JFM

11 G.B. Whitham, Linear and non-linear waves, John Wiley, 1974. | Zbl

12 D.V. Choodnovsky, G.V. Choodnovsky, Nuovo Cimento, 40B No 2 (1977) 339-353.

13 Y. Manin, B. Kuperschmidt, Funct. Anal. Appl. 11 No 3 (1977).

14 D.V. Choodnovsky, Meromorphic solutions of two-dimensional equations with algebraic laws of conservation(this volume).

15 F. Calogero, Lett. Nuovo Cimento 13 (1975) 411.

16 Y. Manin, (to appear).

17 Sawada, Kotera, Prog. Theor. Phys. 51 No 5 (1974).

18 Caudrey, Dodd,Gibbon, Proc. R.S. London A351 (1976).

19 H. Cornille, Preprint, Saclay (to be published).

20 H. Cornille, J. Math. Phys. 18 No 9 (1977) 1855-1869. | MR | Zbl

21 M. Ablowitz, D. Kaup, A. Newell, H. Segur, Stud. Appl. Math. 53 (1974) 249. | MR | Zbl