dorsal/arxiv
View SchemaA Coupled AKNS-Kaup-Newell Soliton Hierarchy
| Authors | Wen-Xiu Ma, Ruguang Zhou |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9908005 |
| URL | https://arxiv.org/abs/solv-int/9908005 |
| DOI | 10.1063/1.532976 |
Abstract
A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is proposed in terms of hereditary symmetry operators resulted from Hamiltonian pairs. Zero curvature representations and tri-Hamiltonian structures are established for all coupled AKNS-Kaup-Newell systems in the hierarchy. Therefore all systems have infinitely many commuting symmetries and conservation laws. Two reductions of the systems lead to the AKNS hierarchy and the Kaup-Newell hierarchy, and thus those two soliton hierarchies also possess tri-Hamiltonian structures.
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"abstract": "A coupled AKNS-Kaup-Newell hierarchy of systems of soliton equations is\nproposed in terms of hereditary symmetry operators resulted from Hamiltonian\npairs. Zero curvature representations and tri-Hamiltonian structures are\nestablished for all coupled AKNS-Kaup-Newell systems in the hierarchy.\nTherefore all systems have infinitely many commuting symmetries and\nconservation laws. Two reductions of the systems lead to the AKNS hierarchy and\nthe Kaup-Newell hierarchy, and thus those two soliton hierarchies also possess\ntri-Hamiltonian structures.",
"arxiv_id": "solv-int/9908005",
"authors": [
"Wen-Xiu Ma",
"Ruguang Zhou"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1063/1.532976",
"title": "A Coupled AKNS-Kaup-Newell Soliton Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9908005"
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