On UrKdV and UrKP
solv-int
2009-10-28 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9402004,
title = {On UrKdV and UrKP},
author = {Didier A Depireux and Jeremy Schiff and U de Montreal and Bar Ilan},
journal= {arXiv preprint arXiv:solv-int/9402004},
year = {2009}
}
Comments
13 pages, plain TeX (no macros), no figures