Preprint 134/2006

Cylindrical KP revisited

Christian Klein, Vladimir Matveev, and Alexander Smirnov

Contact the author: Please use for correspondence this email.
Submission date: 15. Nov. 2006 (revised version: January 2007)
Pages: 20
published in: Theoretical and mathematical physics, 152 (2007) 2, p. 1132-1145 
DOI number (of the published article): 10.1007/s11232-007-0097-x
Bibtex
with the following different title: Cylindrical Kadomtsev-Petviashvili equation : old and new results
MSC-Numbers: 250xx, 58Hx, 35Qxx
Keywords and phrases: Johnson equation, solitons, finite-gap solutions, Darboux transformations
Download full preprint: PDF (647 kB), PS ziped (1067 kB)

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.

02.07.2018, 02:11