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MiS Preprint
134/2006
Cylindrical KP revisited
Christian Klein, Vladimir Matveev and Alexander Smirnov
Abstract
The aim of this article is to summarize results connected with the cylindrical KP equation (CKP equation) also known as Johnson equation. In particular, we explain the gauge equivalence of the related Lax pairs. We also describe some important classes of explicit solutions obtained by the use of the Darboux transformation approach. Plots of explicit solutions including finite gap solutions to the CKP equation are presented.
