Inverse scattering and solitons in \(A_{n-1}\) affine Toda field theories. II. (English) Zbl 0961.81128
Summary: For Part I see ibid. 484, No. 3, 653-681 (1997; Zbl 0925.35147). New single soliton solutions to the affine Toda field theories are constructed, exhibiting previously unobserved topological charges. This goes some of the way in filling the weights of the fundamental representations, but nevertheless holes in the representations remain. We use the group double-cross product form of the inverse scattering method, and restrict ourselves to the rank-one solutions.
MSC:
| 81U40 | Inverse scattering problems in quantum theory |
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 81T10 | Model quantum field theories |
Citations:
Zbl 0925.35147References:
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