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arXiv · solv-int/9402004

On UrKdV and UrKP

Didier A Depireux·Jeremy Schiff·U de Montreal·Bar Ilan
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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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Didier A Depireux, Jeremy Schiff, U de Montreal, Bar Ilan. 1994-03-01. On UrKdV and UrKP. https://doi.org/10.1007/bf00739799

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