On the n-fold backlund transformation for the Davey-Stewartson equation

Citation
Sk. Paul et Ar. Chowdhury, On the n-fold backlund transformation for the Davey-Stewartson equation, CHAOS SOL F, 9(11), 1998, pp. 1913-1920
Citations number
7
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
9
Issue
11
Year of publication
1998
Pages
1913 - 1920
Database
ISI
SICI code
0960-0779(199811)9:11<1913:OTNBTF>2.0.ZU;2-U
Abstract
The N-fold Backlund transformation for the Davey-Stewartson Equation III is constructed following the idea of Neugebauer and Meinel. The formula yield s the N-soliton solution in a single step, for this particular nonlinear eq uation;in (2+1) dimensions. It is shown that N=1 leads to the standard one soliton solution. (C) 1998 Elsevier Science Ltd. All rights reserved.