Abstract
The Hamiltonian structure of stationary soliton equations associated with the AKNS eigenvalue problem is derived in two ways. First, it is shown to arise from the Kostant-Kirillov symplectic structure on a coadjoint orbit in an infinite-dimensional Lie algebra. Second, it is obtained as the restriction to a finite-dimensional manifold of the infinite-dimensional Hamiltonian structure associated with a certain eigenvalue problem polynomial in the eigenvalue parameter.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 324-332 |
| Number of pages | 9 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1983 |
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ASJC Scopus subject areas
- Applied Mathematics
- Statistical and Nonlinear Physics
Cite this
Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1 (1) . / Flaschka, Hermann; Newell, Alan C; Ratiu, T.
In: Physica D: Nonlinear Phenomena, Vol. 9, No. 3, 1983, p. 324-332.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1 (1)
AU - Flaschka, Hermann
AU - Newell, Alan C
AU - Ratiu, T.
PY - 1983
Y1 - 1983
N2 - The Hamiltonian structure of stationary soliton equations associated with the AKNS eigenvalue problem is derived in two ways. First, it is shown to arise from the Kostant-Kirillov symplectic structure on a coadjoint orbit in an infinite-dimensional Lie algebra. Second, it is obtained as the restriction to a finite-dimensional manifold of the infinite-dimensional Hamiltonian structure associated with a certain eigenvalue problem polynomial in the eigenvalue parameter.
AB - The Hamiltonian structure of stationary soliton equations associated with the AKNS eigenvalue problem is derived in two ways. First, it is shown to arise from the Kostant-Kirillov symplectic structure on a coadjoint orbit in an infinite-dimensional Lie algebra. Second, it is obtained as the restriction to a finite-dimensional manifold of the infinite-dimensional Hamiltonian structure associated with a certain eigenvalue problem polynomial in the eigenvalue parameter.
UR - http://www.scopus.com/inward/record.url?scp=4243532589&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243532589&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(83)90275-0
DO - 10.1016/0167-2789(83)90275-0
M3 - Article
AN - SCOPUS:4243532589
VL - 9
SP - 324
EP - 332
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 3
ER -