dorsal/arxiv
View SchemaA note on the third family of N=2 supersymmetric KdV hierarchies
| Authors | François Delduc, L. Gallot |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9901011 |
| URL | https://arxiv.org/abs/solv-int/9901011 |
| DOI | 10.2991/jnmp.1999.6.3.8 |
| Journal | J. Nonlinear Math. Phys. 6 (1999), no. 3, 332-343 |
Abstract
We propose a hamiltonian formulation of the $N=2$ supersymmetric KP type hierarchy recently studied by Krivonos and Sorin. We obtain a quadratic hamiltonian structure which allows for several reductions of the KP type hierarchy. In particular, the third family of $N=2$ KdV hierarchies is recovered. We also give an easy construction of Wronskian solutions of the KP and KdV type equations.
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"abstract": "We propose a hamiltonian formulation of the $N=2$ supersymmetric KP type\nhierarchy recently studied by Krivonos and Sorin. We obtain a quadratic\nhamiltonian structure which allows for several reductions of the KP type\nhierarchy. In particular, the third family of $N=2$ KdV hierarchies is\nrecovered. We also give an easy construction of Wronskian solutions of the KP\nand KdV type equations.",
"arxiv_id": "solv-int/9901011",
"authors": [
"Fran\u00e7ois Delduc",
"L. Gallot"
],
"categories": [
"solv-int",
"nlin.SI"
],
"doi": "10.2991/jnmp.1999.6.3.8",
"journal_ref": "J. Nonlinear Math. Phys. 6 (1999), no. 3, 332-343",
"title": "A note on the third family of N=2 supersymmetric KdV hierarchies",
"url": "https://arxiv.org/abs/solv-int/9901011"
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