On UrKdV and UrKP

Didier A. Depireux, Jeremy Schiff

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 Bäcklund transformations for the modified KP and KP equations.

Original languageEnglish
Pages (from-to)99-111
Number of pages13
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Feb 1995


  • Mathematics Subject Classification (1991): 35Q53


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