On the analytical approach to the N-fold Backlund transformation of Davey-Stewartson equation

Citation
Sk. Paul et Ar. Chowdhury, On the analytical approach to the N-fold Backlund transformation of Davey-Stewartson equation, J NONL M PH, 5(4), 1998, pp. 349-356
Citations number
7
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
5
Issue
4
Year of publication
1998
Pages
349 - 356
Database
ISI
SICI code
1402-9251(199811)5:4<349:OTAATT>2.0.ZU;2-H
Abstract
N-fold Backlund transformation for the Davey-Stewartson equation is constru cted by using the analytic structure of the Lax eigenfunction in the comple x eigenvalue plane. Explicit formulae can be obtained for a specified value of N. Lastly it is shown how generalized soliton solutions are generated f rom the trivial ones.