dorsal/arxiv
View SchemaOn the integrability of stationary and restricted flows of the KdV hierarchy.
| Authors | G. Tondo |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9507004 |
| URL | https://arxiv.org/abs/solv-int/9507004 |
| DOI | 10.1088/0305-4470/28/17/034 |
Abstract
A bi--Hamiltonian formulation for stationary flows of the KdV hierarchy is derived in an extended phase space. A map between stationary flows and restricted flows is constructed: in a case it connects an integrable Henon--Heiles system and the Garnier system. Moreover a new integrability scheme for Hamiltonian systems is proposed, holding in the standard phase space.
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"abstract": "A bi--Hamiltonian formulation for stationary flows of the KdV hierarchy is\nderived in an extended phase space. A map between stationary flows and\nrestricted flows is constructed: in a case it connects an integrable\nHenon--Heiles system and the Garnier system. Moreover a new integrability\nscheme for Hamiltonian systems is proposed, holding in the standard phase\nspace.",
"arxiv_id": "solv-int/9507004",
"authors": [
"G. Tondo"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.1088/0305-4470/28/17/034",
"title": "On the integrability of stationary and restricted flows of the KdV hierarchy.",
"url": "https://arxiv.org/abs/solv-int/9507004"
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