TY - JOUR

T1 - Kac-moody lie algebras and soliton equations. III. Stationary equations associated with A1(1)

AU - Flaschka, H.

AU - Newell, A. C.

AU - Ratiu, T.

N1 - Funding Information:
* Supported in part by DOA Contract DAAG 29-82-K-0068 and NSF Grant MCS-8 0-02748A01. ** Supported in part by DOA contract DAG29-78-K-0059, NSF Grant MCS75-07548A01 and ONR Contract N0014-76-C-0867. ***Supported in part by DOA Contract DAAG29-82-K-0068 and NSF Grant MCS81-06142.

PY - 1983/12

Y1 - 1983/12

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.

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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 -