General solution for hamiltonians with extended cubic and quartic potentials

Theoretical and Mathematical Physics

Volumn 134, Issue 1, 2003, Pages 128-138

  Verhoeven, C ^a   Musette, M ^a   Conte, R ^b  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

^b SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

Hamiltonian systems; H non Heiles; Hyperelliptic functions; Nonlinear equations; Separation of variables; Soliton equations

Indexed keywords

EID: 0037236205     PISSN: 00405779     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021880025669     Document Type: Conference Paper

References (22)

1. T. Bountis, H. Segur, and F. Vivaldi, Phys. Rev. A, 25, 1257-1264 (1982).
2. Y. F. Chang, M. Tabor, and J. Weiss, J. Math. Phys., 23, 531-538 (1982).
3. B. Grammaticos, B. Dorizzi, and R. Padjen, Phys. Lett. A, 89, 111-113 (1982).
4. A. P. Fordy, Phys. D, 52, 204-210 (1991).
5. S. Baker, "Squared eigenfunction representations of integrable hierarchies," Ph.D. thesis, Univ. of Leeds, Leeds (1995).
6. C. Verhoeven, M. Musette, and R. Conte, J. Math. Phys., 48, 1906-1915 (2002); nlin.SI/0112030 (2001).
7. B. Grammaticos, B. Dorizzi, and A. Ramani, J. Math. Phys., 24, 2289-2295 (1983).
8. J. Hietarinta, J. Math. Phys., 25, 1833-1844 (1984).
9. J. Hietarinta, Phys. Rep., 147, 87-154 (1987).
10. B. Grammaticos, B. Dorizzi, and A. Ramani, J. Math. Phys., 25, 3470-3473 (1984).
11. V. Ravoson, A. Ramani, and B. Grammaticos, Phys. Lett. A, 191, 91-95 (1994).
12. F. J. Romeiras, J. Math. Phys., 36, 3559-3565 (1995).
13. S. V. Manakov, JETP, 38, 248-253 (1974).
14. R. Garnier, Rend. Circ. Mat. Palermo, 43, 3559-3565 (1919).
15. S. Wojciechowski, Phys. Scripta, 31, 433-438 (1985).
16. V. G. Drinfeld and V. V. Sokolov, Trudy Sem. Sobolev, 2, 5-9 (1981).
17. S. Baker, V. Z. Enolskii, and A. P. Fordy, Phys. Lett. A, 201, 167-174 (1995).
18. J. Satsuma and R. Hirota, J. Phys. Soc. Japan, 51, 3390-3397 (1982).
19. A. P. Fordy and J. Gibbons, J. Math. Phys., 21, 2508-2510 (1980).
20. M. Błaszak and S. Rauch-Wojciechowski, J. Math. Phys., 35, 1693-1709 (1994).
21. V. Ravoson, L. Gavrilov, and R. Caboz, J. Math. Phys., 34, 2385-2393 (1993).
22. F. J. Romeiras, J. Phys. A, 28, 5633-5642 (1995).