|
The Toda flow on a generic orbit is integrable
Authors:
P. Deift, L. C. Li, T. Nanda and C. Tomei
Journal:
Bull. Amer. Math. Soc. 11 (1984), 367-368
MSC (1980):
Primary 22E25, 58F07, 70H99
MathSciNet review:
752800
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
M.
Adler, On a trace functional for formal pseudo differential
operators and the symplectic structure of the Korteweg-de\thinspace Vries
type equations, Invent. Math. 50 (1978/79),
no. 3, 219–248. MR 520927
(80i:58026), http://dx.doi.org/10.1007/BF01410079
- 2.
Bertram
Kostant, The solution to a generalized Toda lattice and
representation theory, Adv. in Math. 34 (1979),
no. 3, 195–338. MR 550790
(82f:58045), http://dx.doi.org/10.1016/0001-8708(79)90057-4
- 3.
W.
W. Symes, Hamiltonian group actions and integrable systems,
Phys. D 1 (1980), no. 4, 339–374. MR 601577
(83j:58063), http://dx.doi.org/10.1016/0167-2789(80)90017-2
- 4.
H.
Flaschka, The Toda lattice. I. Existence of integrals, Phys.
Rev. B (3) 9 (1974), 1924–1925. MR 0408647
(53 #12411)
- 5.
Jürgen
Moser, Finitely many mass points on the line under the influence of
an exponential potential–an integrable system, Dynamical
systems, theory and applications (Rencontres, Battelle Res. Inst., Seattle,
Wash., 1974), Springer, Berlin, 1975, pp. 467–497. Lecture
Notes in Phys., Vol. 38. MR 0455038
(56 #13279)
- 6.
P.
Deift, L.
C. Li, and C.
Tomei, Toda flows with infinitely many variables, J. Funct.
Anal. 64 (1985), no. 3, 358–402. MR 813206
(87a:58076), http://dx.doi.org/10.1016/0022-1236(85)90065-5
- 7.
P.
Deift, T.
Nanda, and C.
Tomei, Ordinary differential equations and the symmetric eigenvalue
problem, SIAM J. Numer. Anal. 20 (1983), no. 1,
1–22. MR
687364 (86k:58101), http://dx.doi.org/10.1137/0720001
- 1.
- M. Adler, Invent. Math. 50 (1979), 219. MR 520927
- 2.
- B. Kostant, Adv. in Math. 34 (1979), 195. MR 550790
- 3.
- W. W. Symes, Phys. D 1 (1980), 339. MR 601577
- 4.
- H. Flaschka, Phys. Rev. B 9 (1974), 1924. MR 408647
- 5.
- J. Moser, Lecture Notes in Phys. 38 (1975), 467. MR 455038
- 6.
- P. Deift, L. C. Li and C Tomei, Toda flaws with infinitely many variables (to appear). MR 813206
- 7.
- P. Deift, T. Nanda and C. Tomei, SIAM J. Numer. Anal. 20 (1983), 1. MR 687364
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1980):
22E25,
58F07,
70H99
Retrieve articles in all journals
with MSC (1980):
22E25,
58F07,
70H99
Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1984-15311-4
PII:
S 0273-0979(1984)15311-4
|