Hamiltonian structure of real Monge-Ampère equations

Journal of Physics A: Mathematical and General

Volumn 29, Issue 12, 1996, Pages 3257-3280

  Nutku, Y ^a  

^a MATERIALS INSTITUTE   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040916291     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/12/029     Document Type: Article

References (50)

1. Nutku Y and Sarioǧlu Ö 1993 Phys. Lett. 173A 270
2. Dirac P A M 1964 Lectures on Quantum Mechanics (Belfer Graduate School of Science Monographs Series 2) (New York: Yeshiva University)
3. Hanson A, Regge T and Teitelboim C 1976 Acad. Naz. Lincei (Rome)
4. Sundermeyer K 1982 Constrained Dynamics (Lecture Notes in Physics 169) (Berlin: Springer)
5. Magn F 1978 J. Math. Phys. 19 1156
6. Magri F 1980 Nonlinear Evolution Equations and Dynamical Systems (Lecture Notes in Physics 120) ed M Boiti, F Pempinelli and G Soliani (Berlin: Springer) p 233
7. Magri F, Morosi C and Tondo G 1988 Comm. Math. Phys. 115 457
8. Olver P J 1986 Applications of Lie Groups to Differential Equations (Graduate Texts in Mathematics 107) (Berlin: Springer)
9. Kosmann-Schwarzbach Y 1986 Géométrie de systèmes Bihamiltoniens University of Montreal Press No 102 p 185
10. Dorfman I Ya 1993 Dirac Structures (New York: Wiley)
11. Macfarlane A J 1982 CERN preprint TH 3289
12. Nutku Y 1984 J. Phys. A: Math. Gen. 16 4195;
13. 1985 J. Math. Phys. 26 2007
14. Bergvelt M J and de Kerf E A 1985 Lett. Math. Phys. 10 13
15. Neyzi F and Nutku Y 1987 J. Math. Phys. 28 1499
16. Fairlie D B, Govaerts J and Morozov A 1992 Nucl. Phys. B 373 214
17. Fairlie D B and Govaerts J 1992 Phys. Lett. 281B 49;
18. J. Math. Phys. 33 3543
19. ; 1993 J. Phys. A: Math. Gen. 26 3339
20. Sheftel' M B 1986 Funct. Anal. Appl. 20 227
21. Olver P J and Nutku Y 1988 J. Math. Phys. 29 1610
22. Crnković C and Witten E 1986 Three Hundred Years of Gravitation ed S W Hawking and W Israel
23. Zuckerman G J 1986 Mathematical Aspects of String Theory ed S T Yau (Singapore: World Scientific)
24. Courant R and Hilbert D 1962 Methods of Mathematical Physics vol II (New York: Wiley-Interscience)
25. Semmes S 1992 Am. J. Math. 114 495
26. Galvão C A P 1994 private communication
27. Dirac P A M 1950 Can. J. Math. 2 147
28. Bergman P 1955 Phys. Rev. 98 531
29. Gardner C S 1971 J. Math. Phys. 12 1548
30. Zakharov V E and Fadeev L D 1971 Funct. Anal. Appl. 5 18
31. Santini P M and Fokas A S 1988 Commun. Math. Phys. 115 375
32. Fokas A S and Santini P M 1988 Commun. Math. Phys. 116 449
33. Dorfman I Ya and Fokas A S 1992 J. Math. Phys. 33 2504
34. Manin Yu I 1979 J. Sov. Math. 11 1
35. Gervais J-L and Neveu A 1982 Nucl. Phys. B 199 59;
36. Gervais J-L and Neveu A Nucl. Phys. B 209 125
37. Gervais J-L 1985 Phys. Lett. 160B 277 and 279
38. Kupershmidt B 1985 J. Phys. A: Math. Gen. 18 L1123
39. Goddard P and Olive D I 1986 Int. J. Mod. Phys. A 1 303
40. Dorfman I Ya and Mokhov O I 1991 J. Math. Phys. 32 3288
41. Zakharov V E and Shabat A B 1972 Sov. Phys. - JETP 34 62
42. Ablowitz M J, Kaup D, Newell A and Segur H 1974 Stud. Appl. Math. 53 249
43. Jörgens K 1954 Math. Annal. 127 130
44. Mokhov O I and Nutku Y 1994 Lett. Math. Phys. 32 121
45. Ank M, Neyzi F, Nutku Y, Olver P J and Verosky J 1989 J. Math. Phys. 30 1338
46. Vinogradov A M 1978 Dokl. Akad. Nauk SSSR 241 18
47. Mokhov O I 1987 Funct. Anal. Appl. 21 53
48. Sokolov V V 1984 Dokl. Akad. Nauk SSSR 272 48
49. Mokhov O I 1991 Mat. Zametki 50 87
50. J. Phys. A: Math. Gen. 29 (1996) 3281-3288.