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)
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topChoodnovsky, 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): 1-37. <http://eudml.org/doc/112147>.
@article{Choodnovsky1977-1978,
author = {Choodnovsky, D. V.},
journal = {Séminaire sur les équations non linéaires (Choodnovsky)},
language = {eng},
pages = {1-37},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
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},
url = {http://eudml.org/doc/112147},
year = {1977-1978},
}
TY - JOUR
AU - Choodnovsky, D. V.
TI - 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
JO - Séminaire sur les équations non linéaires (Choodnovsky)
PY - 1977-1978
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 37
LA - eng
UR - http://eudml.org/doc/112147
ER -
References
top- 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. Zbl0346.35085
- 3 C. Gardner, J. Math. Phys.12 (1971) 1548-1551. Zbl0283.35021MR286402
- 4 I. Gelfand, Y. Manin, M. Shubin, Funct. Anal. and Appl.10 No 4 (1976) 30-34. Zbl0395.58005MR440612
- 5 P. Lax, Comm. Pure Appl. Math.21 No 5 (1968) 467-490. Zbl0162.41103MR235310
- 6 J.L. Burchnall, T.W. Chaundy, Proc. London Math. Soc.21 (1922) 420-440. JFM49.0311.03
- 7 V. Zaharov, A. Shabat, Funct. Anal. and Appl.8 (1974) 43. Zbl0303.35024
- 8 H. Airault, H. McKean, J. Moser, Comm. Pure Appl. Math.55 (1977). MR649926
- 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. JFM03.0486.01
- 11 G.B. Whitham, Linear and non-linear waves, John Wiley, 1974. Zbl0373.76001
- 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 Cimento13 (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. Zbl0366.35025MR492999
- 21 M. Ablowitz, D. Kaup, A. Newell, H. Segur, Stud. Appl. Math.53 (1974) 249. Zbl0408.35068MR450815
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