dorsal/arxiv
View SchemaOn UrKdV and UrKP
| Authors | Didier A Depireux, Jeremy Schiff, U de Montreal, Bar Ilan |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9402004 |
| URL | https://arxiv.org/abs/solv-int/9402004 |
| DOI | 10.1007/BF00739799 |
Abstract
We present two extensions of Wilson's explanation of the Miura map from MKdV to KdV. In the first we explain the map of Svinolupov et al from a certain UrKdV-like equation to KdV, and in the second we explain Konopelchenko's map from the modified KP equation to KP. In the course of the latter we introduce an ``UrKP'' system, with an infinite dimensional symmetry, providing us with a systematic method to construct Backlund transformations for the modified KP and KP equations.
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"abstract": "We present two extensions of Wilson\u0027s explanation of the Miura map from MKdV\nto KdV. In the first we explain the map of Svinolupov et al from a certain\nUrKdV-like equation to KdV, and in the second we explain Konopelchenko\u0027s map\nfrom the modified KP equation to KP. In the course of the latter we introduce\nan ``UrKP\u0027\u0027 system, with an infinite dimensional symmetry, providing us with a\nsystematic method to construct Backlund transformations for the modified KP and\nKP equations.",
"arxiv_id": "solv-int/9402004",
"authors": [
"Didier A Depireux",
"Jeremy Schiff",
"U de Montreal",
"Bar Ilan"
],
"categories": [
"solv-int",
"hep-th",
"nlin.SI"
],
"doi": "10.1007/BF00739799",
"title": "On UrKdV and UrKP",
"url": "https://arxiv.org/abs/solv-int/9402004"
},
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