dorsal/arxiv
View SchemaThe Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy
| Authors | Wen-Xiu Ma, Benno Fuchssteiner |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9601003 |
| URL | https://arxiv.org/abs/solv-int/9601003 |
| DOI | 10.1016/0375-9601(96)00112-0 |
Abstract
The bi-Hamiltonian structure is established for the perturbation equations of KdV hierarchy and thus the perturbation equations themselves provide also examples among typical soliton equations. Besides, a more general bi-Hamiltonian integrable hierarchy is proposed and a remark is given for a generalization of the resulting perturbation equations to $1+2$ dimensions.
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"abstract": "The bi-Hamiltonian structure is established for the perturbation equations of\nKdV hierarchy and thus the perturbation equations themselves provide also\nexamples among typical soliton equations. Besides, a more general\nbi-Hamiltonian integrable hierarchy is proposed and a remark is given for a\ngeneralization of the resulting perturbation equations to $1+2$ dimensions.",
"arxiv_id": "solv-int/9601003",
"authors": [
"Wen-Xiu Ma",
"Benno Fuchssteiner"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1016/0375-9601(96)00112-0",
"title": "The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy",
"url": "https://arxiv.org/abs/solv-int/9601003"
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