ALGEBRAIC REPRESENTATION OF THE LINEAR PROBLEM AS A METHOD TO CONSTRUCT THE DARBOUX-BACKLUND TRANSFORMATION

Authors
CIESLINSKI J
Citation
J. Cieslinski, ALGEBRAIC REPRESENTATION OF THE LINEAR PROBLEM AS A METHOD TO CONSTRUCT THE DARBOUX-BACKLUND TRANSFORMATION, Chaos, solitons and fractals, 5(12), 1995, pp. 2303-2313
Citations number
14
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
5
Issue
12
Year of publication
1995
Pages
2303 - 2313
Database
ISI
SICI code
0960-0779(1995)5:12<2303:AROTLP>2.0.ZU;2-O
Abstract
An effective algorithm to construct the Darboux matrix based on the dr essing method is proposed. Our approach consists in representing the l inear problem as a system of algebraic constraints on two matrices. Th e Darboux matrix is determined from the requirement that the Darboux-B acklund transformation preserves these constraints. A non-isospectral deformation of the derivative nonlinear Schrodinger equation is discus sed as an example.