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On UrKdV and UrKP (1995)

Depireux, Didier A. ; Schiff, Jeremy

Springer

Letters in mathematical physics 33 (1995), S. 99-111

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Details

ISSN: 1573-0530

Schlagwort(e): 35Q53

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Physik

Notizen: 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 Svinolupovet 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00739799

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